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Finding the Third Proportional to 508,605.75 and 769,456.13

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Solution

The third proportional to 508,605.75 and 769,456.13 is: 1,164,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,605.75 : 769,456.13 = 769,456.13 : x
  2. Step 2: Convert to fraction form
    508,605.75/769,456.13 = 769,456.13/x
  3. Step 3: Cross multiply
    508,605.75x = 769,456.13 × 769,456.13
  4. Step 4: Simplify right side
    508,605.75x = 592,062,728,300.02
  5. Step 5: Solve for x
    x = 592,062,728,300.02/508,605.75
  6. Step 6: Final answer
    x = 1,164,089.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.