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Finding the Third Proportional to 410,058.28 and 552,020.06

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Solution

The third proportional to 410,058.28 and 552,020.06 is: 743,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,058.28 : 552,020.06 = 552,020.06 : x
  2. Step 2: Convert to fraction form
    410,058.28/552,020.06 = 552,020.06/x
  3. Step 3: Cross multiply
    410,058.28x = 552,020.06 × 552,020.06
  4. Step 4: Simplify right side
    410,058.28x = 304,726,149,402.50
  5. Step 5: Solve for x
    x = 304,726,149,402.50/410,058.28
  6. Step 6: Final answer
    x = 743,128.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.