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Finding the Third Proportional to 332,343 and 724,837

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Solution

The third proportional to 332,343 and 724,837 is: 1,580,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343 : 724,837 = 724,837 : x
  2. Step 2: Convert to fraction form
    332,343/724,837 = 724,837/x
  3. Step 3: Cross multiply
    332,343x = 724,837 × 724,837
  4. Step 4: Simplify right side
    332,343x = 525,388,676,569
  5. Step 5: Solve for x
    x = 525,388,676,569/332,343
  6. Step 6: Final answer
    x = 1,580,862.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.