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Finding the Third Proportional to 224,515.13 and 487,783.13

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Solution

The third proportional to 224,515.13 and 487,783.13 is: 1,059,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,515.13 : 487,783.13 = 487,783.13 : x
  2. Step 2: Convert to fraction form
    224,515.13/487,783.13 = 487,783.13/x
  3. Step 3: Cross multiply
    224,515.13x = 487,783.13 × 487,783.13
  4. Step 4: Simplify right side
    224,515.13x = 237,932,377,034.77
  5. Step 5: Solve for x
    x = 237,932,377,034.77/224,515.13
  6. Step 6: Final answer
    x = 1,059,761.02

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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.