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Finding the Third Proportional to 574.59 and 1,246.43

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Solution

The third proportional to 574.59 and 1,246.43 is: 2,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 1,246.43 = 1,246.43 : x
  2. Step 2: Convert to fraction form
    574.59/1,246.43 = 1,246.43/x
  3. Step 3: Cross multiply
    574.59x = 1,246.43 × 1,246.43
  4. Step 4: Simplify right side
    574.59x = 1,553,586.97
  5. Step 5: Solve for x
    x = 1,553,586.97/574.59
  6. Step 6: Final answer
    x = 2,703.80

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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.