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Finding the Third Proportional to 332,607 and 731,649

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Solution

The third proportional to 332,607 and 731,649 is: 1,609,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,607 : 731,649 = 731,649 : x
  2. Step 2: Convert to fraction form
    332,607/731,649 = 731,649/x
  3. Step 3: Cross multiply
    332,607x = 731,649 × 731,649
  4. Step 4: Simplify right side
    332,607x = 535,310,259,201
  5. Step 5: Solve for x
    x = 535,310,259,201/332,607
  6. Step 6: Final answer
    x = 1,609,437.74

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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.