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Finding the Third Proportional to 470,359,120.50 and 731,251,239.75

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Solution

The third proportional to 470,359,120.50 and 731,251,239.75 is: 1,136,851,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,359,120.50 : 731,251,239.75 = 731,251,239.75 : x
  2. Step 2: Convert to fraction form
    470,359,120.50/731,251,239.75 = 731,251,239.75/x
  3. Step 3: Cross multiply
    470,359,120.50x = 731,251,239.75 × 731,251,239.75
  4. Step 4: Simplify right side
    470,359,120.50x = 534,728,375,635,912,000
  5. Step 5: Solve for x
    x = 534,728,375,635,912,000/470,359,120.50
  6. Step 6: Final answer
    x = 1,136,851,295.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.