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Finding the Third Proportional to 466,185.38 and 658,019.25

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Solution

The third proportional to 466,185.38 and 658,019.25 is: 928,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,185.38 : 658,019.25 = 658,019.25 : x
  2. Step 2: Convert to fraction form
    466,185.38/658,019.25 = 658,019.25/x
  3. Step 3: Cross multiply
    466,185.38x = 658,019.25 × 658,019.25
  4. Step 4: Simplify right side
    466,185.38x = 432,989,333,370.56
  5. Step 5: Solve for x
    x = 432,989,333,370.56/466,185.38
  6. Step 6: Final answer
    x = 928,792.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.