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Finding the Third Proportional to 332,098 and 720,644

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Solution

The third proportional to 332,098 and 720,644 is: 1,563,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,098 : 720,644 = 720,644 : x
  2. Step 2: Convert to fraction form
    332,098/720,644 = 720,644/x
  3. Step 3: Cross multiply
    332,098x = 720,644 × 720,644
  4. Step 4: Simplify right side
    332,098x = 519,327,774,736
  5. Step 5: Solve for x
    x = 519,327,774,736/332,098
  6. Step 6: Final answer
    x = 1,563,778.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.