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Finding the Third Proportional to 332,358 and 724,866

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Solution

The third proportional to 332,358 and 724,866 is: 1,580,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,358 : 724,866 = 724,866 : x
  2. Step 2: Convert to fraction form
    332,358/724,866 = 724,866/x
  3. Step 3: Cross multiply
    332,358x = 724,866 × 724,866
  4. Step 4: Simplify right side
    332,358x = 525,430,717,956
  5. Step 5: Solve for x
    x = 525,430,717,956/332,358
  6. Step 6: Final answer
    x = 1,580,917.92

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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.