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Finding the Third Proportional to 224,476.31 and 498,775.31

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Solution

The third proportional to 224,476.31 and 498,775.31 is: 1,108,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,476.31 : 498,775.31 = 498,775.31 : x
  2. Step 2: Convert to fraction form
    224,476.31/498,775.31 = 498,775.31/x
  3. Step 3: Cross multiply
    224,476.31x = 498,775.31 × 498,775.31
  4. Step 4: Simplify right side
    224,476.31x = 248,776,812,359.47
  5. Step 5: Solve for x
    x = 248,776,812,359.47/224,476.31
  6. Step 6: Final answer
    x = 1,108,254.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.