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Finding the Third Proportional to 657.49 and 1,335.71

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Solution

The third proportional to 657.49 and 1,335.71 is: 2,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.49 : 1,335.71 = 1,335.71 : x
  2. Step 2: Convert to fraction form
    657.49/1,335.71 = 1,335.71/x
  3. Step 3: Cross multiply
    657.49x = 1,335.71 × 1,335.71
  4. Step 4: Simplify right side
    657.49x = 1,784,118.49
  5. Step 5: Solve for x
    x = 1,784,118.49/657.49
  6. Step 6: Final answer
    x = 2,713.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.