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Finding the Third Proportional to 332,350 and 724,847

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Solution

The third proportional to 332,350 and 724,847 is: 1,580,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,350 : 724,847 = 724,847 : x
  2. Step 2: Convert to fraction form
    332,350/724,847 = 724,847/x
  3. Step 3: Cross multiply
    332,350x = 724,847 × 724,847
  4. Step 4: Simplify right side
    332,350x = 525,403,173,409
  5. Step 5: Solve for x
    x = 525,403,173,409/332,350
  6. Step 6: Final answer
    x = 1,580,873.10

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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.