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Finding the Third Proportional to 224,496.56 and 487,746.56

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Solution

The third proportional to 224,496.56 and 487,746.56 is: 1,059,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,496.56 : 487,746.56 = 487,746.56 : x
  2. Step 2: Convert to fraction form
    224,496.56/487,746.56 = 487,746.56/x
  3. Step 3: Cross multiply
    224,496.56x = 487,746.56 × 487,746.56
  4. Step 4: Simplify right side
    224,496.56x = 237,896,709,230.57
  5. Step 5: Solve for x
    x = 237,896,709,230.57/224,496.56
  6. Step 6: Final answer
    x = 1,059,689.76

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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.