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Finding the Third Proportional to 226,792.13 and 487,204.88

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Solution

The third proportional to 226,792.13 and 487,204.88 is: 1,046,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,792.13 : 487,204.88 = 487,204.88 : x
  2. Step 2: Convert to fraction form
    226,792.13/487,204.88 = 487,204.88/x
  3. Step 3: Cross multiply
    226,792.13x = 487,204.88 × 487,204.88
  4. Step 4: Simplify right side
    226,792.13x = 237,368,590,223.77
  5. Step 5: Solve for x
    x = 237,368,590,223.77/226,792.13
  6. Step 6: Final answer
    x = 1,046,635.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.