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Finding the Third Proportional to 293,149.13 and 464,565.38

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Solution

The third proportional to 293,149.13 and 464,565.38 is: 736,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,149.13 : 464,565.38 = 464,565.38 : x
  2. Step 2: Convert to fraction form
    293,149.13/464,565.38 = 464,565.38/x
  3. Step 3: Cross multiply
    293,149.13x = 464,565.38 × 464,565.38
  4. Step 4: Simplify right side
    293,149.13x = 215,820,987,648.89
  5. Step 5: Solve for x
    x = 215,820,987,648.89/293,149.13
  6. Step 6: Final answer
    x = 736,215.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.