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Finding the Third Proportional to 932.91 and 1,307.60

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Solution

The third proportional to 932.91 and 1,307.60 is: 1,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.91 : 1,307.60 = 1,307.60 : x
  2. Step 2: Convert to fraction form
    932.91/1,307.60 = 1,307.60/x
  3. Step 3: Cross multiply
    932.91x = 1,307.60 × 1,307.60
  4. Step 4: Simplify right side
    932.91x = 1,709,821.85
  5. Step 5: Solve for x
    x = 1,709,821.85/932.91
  6. Step 6: Final answer
    x = 1,832.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.