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Finding the Third Proportional to 224,566.50 and 487,276.50

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Solution

The third proportional to 224,566.50 and 487,276.50 is: 1,057,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,566.50 : 487,276.50 = 487,276.50 : x
  2. Step 2: Convert to fraction form
    224,566.50/487,276.50 = 487,276.50/x
  3. Step 3: Cross multiply
    224,566.50x = 487,276.50 × 487,276.50
  4. Step 4: Simplify right side
    224,566.50x = 237,438,387,452.25
  5. Step 5: Solve for x
    x = 237,438,387,452.25/224,566.50
  6. Step 6: Final answer
    x = 1,057,318.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.