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Finding the Third Proportional to 332,610 and 731,654

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Solution

The third proportional to 332,610 and 731,654 is: 1,609,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,610 : 731,654 = 731,654 : x
  2. Step 2: Convert to fraction form
    332,610/731,654 = 731,654/x
  3. Step 3: Cross multiply
    332,610x = 731,654 × 731,654
  4. Step 4: Simplify right side
    332,610x = 535,317,575,716
  5. Step 5: Solve for x
    x = 535,317,575,716/332,610
  6. Step 6: Final answer
    x = 1,609,445.22

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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.