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Finding the Third Proportional to 224,875.09 and 487,117.13

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Solution

The third proportional to 224,875.09 and 487,117.13 is: 1,055,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,875.09 : 487,117.13 = 487,117.13 : x
  2. Step 2: Convert to fraction form
    224,875.09/487,117.13 = 487,117.13/x
  3. Step 3: Cross multiply
    224,875.09x = 487,117.13 × 487,117.13
  4. Step 4: Simplify right side
    224,875.09x = 237,283,093,468.27
  5. Step 5: Solve for x
    x = 237,283,093,468.27/224,875.09
  6. Step 6: Final answer
    x = 1,055,177.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.