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Finding the Third Proportional to 332,320 and 724,790

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Solution

The third proportional to 332,320 and 724,790 is: 1,580,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,320 : 724,790 = 724,790 : x
  2. Step 2: Convert to fraction form
    332,320/724,790 = 724,790/x
  3. Step 3: Cross multiply
    332,320x = 724,790 × 724,790
  4. Step 4: Simplify right side
    332,320x = 525,320,544,100
  5. Step 5: Solve for x
    x = 525,320,544,100/332,320
  6. Step 6: Final answer
    x = 1,580,767.16

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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.