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Finding the Third Proportional to 497,788,225 and 717,032,449

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Solution

The third proportional to 497,788,225 and 717,032,449 is: 1,032,839,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788,225 : 717,032,449 = 717,032,449 : x
  2. Step 2: Convert to fraction form
    497,788,225/717,032,449 = 717,032,449/x
  3. Step 3: Cross multiply
    497,788,225x = 717,032,449 × 717,032,449
  4. Step 4: Simplify right side
    497,788,225x = 514,135,532,918,937,600
  5. Step 5: Solve for x
    x = 514,135,532,918,937,600/497,788,225
  6. Step 6: Final answer
    x = 1,032,839,884.71

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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.