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Finding the Third Proportional to 497,148,613.50 and 747,798,525

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Solution

The third proportional to 497,148,613.50 and 747,798,525 is: 1,124,819,860.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,148,613.50 : 747,798,525 = 747,798,525 : x
  2. Step 2: Convert to fraction form
    497,148,613.50/747,798,525 = 747,798,525/x
  3. Step 3: Cross multiply
    497,148,613.50x = 747,798,525 × 747,798,525
  4. Step 4: Simplify right side
    497,148,613.50x = 559,202,633,992,175,616
  5. Step 5: Solve for x
    x = 559,202,633,992,175,616/497,148,613.50
  6. Step 6: Final answer
    x = 1,124,819,860.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.