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Finding the Third Proportional to 252,341.38 and 553,726.75

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Solution

The third proportional to 252,341.38 and 553,726.75 is: 1,215,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,341.38 : 553,726.75 = 553,726.75 : x
  2. Step 2: Convert to fraction form
    252,341.38/553,726.75 = 553,726.75/x
  3. Step 3: Cross multiply
    252,341.38x = 553,726.75 × 553,726.75
  4. Step 4: Simplify right side
    252,341.38x = 306,613,313,665.56
  5. Step 5: Solve for x
    x = 306,613,313,665.56/252,341.38
  6. Step 6: Final answer
    x = 1,215,073.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.