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Finding the Third Proportional to 464,589 and 654,265.50

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Solution

The third proportional to 464,589 and 654,265.50 is: 921,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,589 : 654,265.50 = 654,265.50 : x
  2. Step 2: Convert to fraction form
    464,589/654,265.50 = 654,265.50/x
  3. Step 3: Cross multiply
    464,589x = 654,265.50 × 654,265.50
  4. Step 4: Simplify right side
    464,589x = 428,063,344,490.25
  5. Step 5: Solve for x
    x = 428,063,344,490.25/464,589
  6. Step 6: Final answer
    x = 921,380.71

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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.