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Finding the Third Proportional to 327,486 and 499,974

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Solution

The third proportional to 327,486 and 499,974 is: 763,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,486 : 499,974 = 499,974 : x
  2. Step 2: Convert to fraction form
    327,486/499,974 = 499,974/x
  3. Step 3: Cross multiply
    327,486x = 499,974 × 499,974
  4. Step 4: Simplify right side
    327,486x = 249,974,000,676
  5. Step 5: Solve for x
    x = 249,974,000,676/327,486
  6. Step 6: Final answer
    x = 763,312.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.