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Finding the Third Proportional to 223,442 and 487,051

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Solution

The third proportional to 223,442 and 487,051 is: 1,061,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,442 : 487,051 = 487,051 : x
  2. Step 2: Convert to fraction form
    223,442/487,051 = 487,051/x
  3. Step 3: Cross multiply
    223,442x = 487,051 × 487,051
  4. Step 4: Simplify right side
    223,442x = 237,218,676,601
  5. Step 5: Solve for x
    x = 237,218,676,601/223,442
  6. Step 6: Final answer
    x = 1,061,656.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.