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Finding the Third Proportional to 412,932 and 555,731

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Solution

The third proportional to 412,932 and 555,731 is: 747,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,932 : 555,731 = 555,731 : x
  2. Step 2: Convert to fraction form
    412,932/555,731 = 555,731/x
  3. Step 3: Cross multiply
    412,932x = 555,731 × 555,731
  4. Step 4: Simplify right side
    412,932x = 308,836,944,361
  5. Step 5: Solve for x
    x = 308,836,944,361/412,932
  6. Step 6: Final answer
    x = 747,912.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.