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Finding the Third Proportional to 520,283,508 and 747,830,016

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Solution

The third proportional to 520,283,508 and 747,830,016 is: 1,074,894,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,283,508 : 747,830,016 = 747,830,016 : x
  2. Step 2: Convert to fraction form
    520,283,508/747,830,016 = 747,830,016/x
  3. Step 3: Cross multiply
    520,283,508x = 747,830,016 × 747,830,016
  4. Step 4: Simplify right side
    520,283,508x = 559,249,732,830,560,256
  5. Step 5: Solve for x
    x = 559,249,732,830,560,256/520,283,508
  6. Step 6: Final answer
    x = 1,074,894,214.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.