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Finding the Third Proportional to 658.55 and 1,431.42

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Solution

The third proportional to 658.55 and 1,431.42 is: 3,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.55 : 1,431.42 = 1,431.42 : x
  2. Step 2: Convert to fraction form
    658.55/1,431.42 = 1,431.42/x
  3. Step 3: Cross multiply
    658.55x = 1,431.42 × 1,431.42
  4. Step 4: Simplify right side
    658.55x = 2,048,968.58
  5. Step 5: Solve for x
    x = 2,048,968.58/658.55
  6. Step 6: Final answer
    x = 3,111.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.