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Finding the Third Proportional to 332,810 and 718,108

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Solution

The third proportional to 332,810 and 718,108 is: 1,549,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,810 : 718,108 = 718,108 : x
  2. Step 2: Convert to fraction form
    332,810/718,108 = 718,108/x
  3. Step 3: Cross multiply
    332,810x = 718,108 × 718,108
  4. Step 4: Simplify right side
    332,810x = 515,679,099,664
  5. Step 5: Solve for x
    x = 515,679,099,664/332,810
  6. Step 6: Final answer
    x = 1,549,469.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.