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Finding the Third Proportional to 361,899 and 532,311.75

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Solution

The third proportional to 361,899 and 532,311.75 is: 782,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,899 : 532,311.75 = 532,311.75 : x
  2. Step 2: Convert to fraction form
    361,899/532,311.75 = 532,311.75/x
  3. Step 3: Cross multiply
    361,899x = 532,311.75 × 532,311.75
  4. Step 4: Simplify right side
    361,899x = 283,355,799,188.06
  5. Step 5: Solve for x
    x = 283,355,799,188.06/361,899
  6. Step 6: Final answer
    x = 782,969.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.