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Finding the Third Proportional to 318,258 and 691,731

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Solution

The third proportional to 318,258 and 691,731 is: 1,503,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,258 : 691,731 = 691,731 : x
  2. Step 2: Convert to fraction form
    318,258/691,731 = 691,731/x
  3. Step 3: Cross multiply
    318,258x = 691,731 × 691,731
  4. Step 4: Simplify right side
    318,258x = 478,491,776,361
  5. Step 5: Solve for x
    x = 478,491,776,361/318,258
  6. Step 6: Final answer
    x = 1,503,471.32

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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.