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Finding the Third Proportional to 504,814,729.50 and 775,457,233.50

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Solution

The third proportional to 504,814,729.50 and 775,457,233.50 is: 1,191,197,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,814,729.50 : 775,457,233.50 = 775,457,233.50 : x
  2. Step 2: Convert to fraction form
    504,814,729.50/775,457,233.50 = 775,457,233.50/x
  3. Step 3: Cross multiply
    504,814,729.50x = 775,457,233.50 × 775,457,233.50
  4. Step 4: Simplify right side
    504,814,729.50x = 601,333,920,987,473,536
  5. Step 5: Solve for x
    x = 601,333,920,987,473,536/504,814,729.50
  6. Step 6: Final answer
    x = 1,191,197,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.