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Finding the Third Proportional to 332,360 and 724,870

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Solution

The third proportional to 332,360 and 724,870 is: 1,580,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,360 : 724,870 = 724,870 : x
  2. Step 2: Convert to fraction form
    332,360/724,870 = 724,870/x
  3. Step 3: Cross multiply
    332,360x = 724,870 × 724,870
  4. Step 4: Simplify right side
    332,360x = 525,436,516,900
  5. Step 5: Solve for x
    x = 525,436,516,900/332,360
  6. Step 6: Final answer
    x = 1,580,925.85

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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.