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Finding the Third Proportional to 387.88 and 801.69

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Solution

The third proportional to 387.88 and 801.69 is: 1,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.88 : 801.69 = 801.69 : x
  2. Step 2: Convert to fraction form
    387.88/801.69 = 801.69/x
  3. Step 3: Cross multiply
    387.88x = 801.69 × 801.69
  4. Step 4: Simplify right side
    387.88x = 642,702.85
  5. Step 5: Solve for x
    x = 642,702.85/387.88
  6. Step 6: Final answer
    x = 1,656.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.