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Finding the Third Proportional to 224,569.13 and 485,120.81

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Solution

The third proportional to 224,569.13 and 485,120.81 is: 1,047,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569.13 : 485,120.81 = 485,120.81 : x
  2. Step 2: Convert to fraction form
    224,569.13/485,120.81 = 485,120.81/x
  3. Step 3: Cross multiply
    224,569.13x = 485,120.81 × 485,120.81
  4. Step 4: Simplify right side
    224,569.13x = 235,342,202,720.66
  5. Step 5: Solve for x
    x = 235,342,202,720.66/224,569.13
  6. Step 6: Final answer
    x = 1,047,972.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.