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Finding the Third Proportional to 858.66 and 1,337.34

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Solution

The third proportional to 858.66 and 1,337.34 is: 2,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.66 : 1,337.34 = 1,337.34 : x
  2. Step 2: Convert to fraction form
    858.66/1,337.34 = 1,337.34/x
  3. Step 3: Cross multiply
    858.66x = 1,337.34 × 1,337.34
  4. Step 4: Simplify right side
    858.66x = 1,788,488.31
  5. Step 5: Solve for x
    x = 1,788,488.31/858.66
  6. Step 6: Final answer
    x = 2,082.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.