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Finding the Third Proportional to 252,123.38 and 546,248.63

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Solution

The third proportional to 252,123.38 and 546,248.63 is: 1,183,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,123.38 : 546,248.63 = 546,248.63 : x
  2. Step 2: Convert to fraction form
    252,123.38/546,248.63 = 546,248.63/x
  3. Step 3: Cross multiply
    252,123.38x = 546,248.63 × 546,248.63
  4. Step 4: Simplify right side
    252,123.38x = 298,387,560,314.39
  5. Step 5: Solve for x
    x = 298,387,560,314.39/252,123.38
  6. Step 6: Final answer
    x = 1,183,498.20

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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.