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Finding the Third Proportional to 332,132 and 687,887

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Solution

The third proportional to 332,132 and 687,887 is: 1,424,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,132 : 687,887 = 687,887 : x
  2. Step 2: Convert to fraction form
    332,132/687,887 = 687,887/x
  3. Step 3: Cross multiply
    332,132x = 687,887 × 687,887
  4. Step 4: Simplify right side
    332,132x = 473,188,524,769
  5. Step 5: Solve for x
    x = 473,188,524,769/332,132
  6. Step 6: Final answer
    x = 1,424,700.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.