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Finding the Third Proportional to 344,609 and 730,132

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Solution

The third proportional to 344,609 and 730,132 is: 1,546,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,609 : 730,132 = 730,132 : x
  2. Step 2: Convert to fraction form
    344,609/730,132 = 730,132/x
  3. Step 3: Cross multiply
    344,609x = 730,132 × 730,132
  4. Step 4: Simplify right side
    344,609x = 533,092,737,424
  5. Step 5: Solve for x
    x = 533,092,737,424/344,609
  6. Step 6: Final answer
    x = 1,546,949.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.