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Finding the Third Proportional to 306,624 and 667,248

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Solution

The third proportional to 306,624 and 667,248 is: 1,452,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,624 : 667,248 = 667,248 : x
  2. Step 2: Convert to fraction form
    306,624/667,248 = 667,248/x
  3. Step 3: Cross multiply
    306,624x = 667,248 × 667,248
  4. Step 4: Simplify right side
    306,624x = 445,219,893,504
  5. Step 5: Solve for x
    x = 445,219,893,504/306,624
  6. Step 6: Final answer
    x = 1,452,006.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.