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Finding the Third Proportional to 458,606 and 660,564

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Solution

The third proportional to 458,606 and 660,564 is: 951,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,606 : 660,564 = 660,564 : x
  2. Step 2: Convert to fraction form
    458,606/660,564 = 660,564/x
  3. Step 3: Cross multiply
    458,606x = 660,564 × 660,564
  4. Step 4: Simplify right side
    458,606x = 436,344,798,096
  5. Step 5: Solve for x
    x = 436,344,798,096/458,606
  6. Step 6: Final answer
    x = 951,458.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.