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Finding the Third Proportional to 332,342 and 724,835

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Solution

The third proportional to 332,342 and 724,835 is: 1,580,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,342 : 724,835 = 724,835 : x
  2. Step 2: Convert to fraction form
    332,342/724,835 = 724,835/x
  3. Step 3: Cross multiply
    332,342x = 724,835 × 724,835
  4. Step 4: Simplify right side
    332,342x = 525,385,777,225
  5. Step 5: Solve for x
    x = 525,385,777,225/332,342
  6. Step 6: Final answer
    x = 1,580,858.81

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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.