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Finding the Third Proportional to 332,731 and 721,512

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Solution

The third proportional to 332,731 and 721,512 is: 1,564,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,731 : 721,512 = 721,512 : x
  2. Step 2: Convert to fraction form
    332,731/721,512 = 721,512/x
  3. Step 3: Cross multiply
    332,731x = 721,512 × 721,512
  4. Step 4: Simplify right side
    332,731x = 520,579,566,144
  5. Step 5: Solve for x
    x = 520,579,566,144/332,731
  6. Step 6: Final answer
    x = 1,564,565.87

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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.