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Finding the Third Proportional to 324,996 and 724,677

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Solution

The third proportional to 324,996 and 724,677 is: 1,615,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,996 : 724,677 = 724,677 : x
  2. Step 2: Convert to fraction form
    324,996/724,677 = 724,677/x
  3. Step 3: Cross multiply
    324,996x = 724,677 × 724,677
  4. Step 4: Simplify right side
    324,996x = 525,156,754,329
  5. Step 5: Solve for x
    x = 525,156,754,329/324,996
  6. Step 6: Final answer
    x = 1,615,886.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.