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Finding the Third Proportional to 678.38 and 1,046.06

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Solution

The third proportional to 678.38 and 1,046.06 is: 1,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 1,046.06 = 1,046.06 : x
  2. Step 2: Convert to fraction form
    678.38/1,046.06 = 1,046.06/x
  3. Step 3: Cross multiply
    678.38x = 1,046.06 × 1,046.06
  4. Step 4: Simplify right side
    678.38x = 1,094,246.75
  5. Step 5: Solve for x
    x = 1,094,246.75/678.38
  6. Step 6: Final answer
    x = 1,613.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.