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Finding the Third Proportional to 656.16 and 1,387.69

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Solution

The third proportional to 656.16 and 1,387.69 is: 2,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 1,387.69 = 1,387.69 : x
  2. Step 2: Convert to fraction form
    656.16/1,387.69 = 1,387.69/x
  3. Step 3: Cross multiply
    656.16x = 1,387.69 × 1,387.69
  4. Step 4: Simplify right side
    656.16x = 1,925,676.60
  5. Step 5: Solve for x
    x = 1,925,676.60/656.16
  6. Step 6: Final answer
    x = 2,934.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.