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Finding the Third Proportional to 332,318 and 724,786

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Solution

The third proportional to 332,318 and 724,786 is: 1,580,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,318 : 724,786 = 724,786 : x
  2. Step 2: Convert to fraction form
    332,318/724,786 = 724,786/x
  3. Step 3: Cross multiply
    332,318x = 724,786 × 724,786
  4. Step 4: Simplify right side
    332,318x = 525,314,745,796
  5. Step 5: Solve for x
    x = 525,314,745,796/332,318
  6. Step 6: Final answer
    x = 1,580,759.23

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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.