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Finding the Third Proportional to 226,069.31 and 487,630.13

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Solution

The third proportional to 226,069.31 and 487,630.13 is: 1,051,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,069.31 : 487,630.13 = 487,630.13 : x
  2. Step 2: Convert to fraction form
    226,069.31/487,630.13 = 487,630.13/x
  3. Step 3: Cross multiply
    226,069.31x = 487,630.13 × 487,630.13
  4. Step 4: Simplify right side
    226,069.31x = 237,783,138,807.52
  5. Step 5: Solve for x
    x = 237,783,138,807.52/226,069.31
  6. Step 6: Final answer
    x = 1,051,815.20

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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.