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Finding the Third Proportional to 675.75 and 1,077.19

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Solution

The third proportional to 675.75 and 1,077.19 is: 1,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,077.19 = 1,077.19 : x
  2. Step 2: Convert to fraction form
    675.75/1,077.19 = 1,077.19/x
  3. Step 3: Cross multiply
    675.75x = 1,077.19 × 1,077.19
  4. Step 4: Simplify right side
    675.75x = 1,160,332.91
  5. Step 5: Solve for x
    x = 1,160,332.91/675.75
  6. Step 6: Final answer
    x = 1,717.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.