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Finding the Third Proportional to 284,806.97 and 672,314.06

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Solution

The third proportional to 284,806.97 and 672,314.06 is: 1,587,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,806.97 : 672,314.06 = 672,314.06 : x
  2. Step 2: Convert to fraction form
    284,806.97/672,314.06 = 672,314.06/x
  3. Step 3: Cross multiply
    284,806.97x = 672,314.06 × 672,314.06
  4. Step 4: Simplify right side
    284,806.97x = 452,006,198,635.25
  5. Step 5: Solve for x
    x = 452,006,198,635.25/284,806.97
  6. Step 6: Final answer
    x = 1,587,061.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.