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Finding the Third Proportional to 332,358 and 724,864

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Solution

The third proportional to 332,358 and 724,864 is: 1,580,909.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,358 : 724,864 = 724,864 : x
  2. Step 2: Convert to fraction form
    332,358/724,864 = 724,864/x
  3. Step 3: Cross multiply
    332,358x = 724,864 × 724,864
  4. Step 4: Simplify right side
    332,358x = 525,427,818,496
  5. Step 5: Solve for x
    x = 525,427,818,496/332,358
  6. Step 6: Final answer
    x = 1,580,909.20

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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.