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Finding the Third Proportional to 410,282.72 and 552,331.41

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Solution

The third proportional to 410,282.72 and 552,331.41 is: 743,560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,282.72 : 552,331.41 = 552,331.41 : x
  2. Step 2: Convert to fraction form
    410,282.72/552,331.41 = 552,331.41/x
  3. Step 3: Cross multiply
    410,282.72x = 552,331.41 × 552,331.41
  4. Step 4: Simplify right side
    410,282.72x = 305,069,982,330.10
  5. Step 5: Solve for x
    x = 305,069,982,330.10/410,282.72
  6. Step 6: Final answer
    x = 743,560.40

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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.