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Finding the Third Proportional to 332,652 and 731,670

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Solution

The third proportional to 332,652 and 731,670 is: 1,609,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,652 : 731,670 = 731,670 : x
  2. Step 2: Convert to fraction form
    332,652/731,670 = 731,670/x
  3. Step 3: Cross multiply
    332,652x = 731,670 × 731,670
  4. Step 4: Simplify right side
    332,652x = 535,340,988,900
  5. Step 5: Solve for x
    x = 535,340,988,900/332,652
  6. Step 6: Final answer
    x = 1,609,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.