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Finding the Third Proportional to 410,060 and 552,023

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Solution

The third proportional to 410,060 and 552,023 is: 743,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,060 : 552,023 = 552,023 : x
  2. Step 2: Convert to fraction form
    410,060/552,023 = 552,023/x
  3. Step 3: Cross multiply
    410,060x = 552,023 × 552,023
  4. Step 4: Simplify right side
    410,060x = 304,729,392,529
  5. Step 5: Solve for x
    x = 304,729,392,529/410,060
  6. Step 6: Final answer
    x = 743,133.67

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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.