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Finding the Third Proportional to 327,974 and 707,624

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Solution

The third proportional to 327,974 and 707,624 is: 1,526,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,974 : 707,624 = 707,624 : x
  2. Step 2: Convert to fraction form
    327,974/707,624 = 707,624/x
  3. Step 3: Cross multiply
    327,974x = 707,624 × 707,624
  4. Step 4: Simplify right side
    327,974x = 500,731,725,376
  5. Step 5: Solve for x
    x = 500,731,725,376/327,974
  6. Step 6: Final answer
    x = 1,526,742.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.