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Finding the Third Proportional to 497,587,699.50 and 736,590,350.25

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Solution

The third proportional to 497,587,699.50 and 736,590,350.25 is: 1,090,391,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,587,699.50 : 736,590,350.25 = 736,590,350.25 : x
  2. Step 2: Convert to fraction form
    497,587,699.50/736,590,350.25 = 736,590,350.25/x
  3. Step 3: Cross multiply
    497,587,699.50x = 736,590,350.25 × 736,590,350.25
  4. Step 4: Simplify right side
    497,587,699.50x = 542,565,344,081,417,664
  5. Step 5: Solve for x
    x = 542,565,344,081,417,664/497,587,699.50
  6. Step 6: Final answer
    x = 1,090,391,391.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.