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Finding the Third Proportional to 224,187.75 and 527,482.13

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Solution

The third proportional to 224,187.75 and 527,482.13 is: 1,241,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,187.75 : 527,482.13 = 527,482.13 : x
  2. Step 2: Convert to fraction form
    224,187.75/527,482.13 = 527,482.13/x
  3. Step 3: Cross multiply
    224,187.75x = 527,482.13 × 527,482.13
  4. Step 4: Simplify right side
    224,187.75x = 278,237,392,194.52
  5. Step 5: Solve for x
    x = 278,237,392,194.52/224,187.75
  6. Step 6: Final answer
    x = 1,241,090.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.