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Finding the Third Proportional to 904.92 and 1,232.72

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Solution

The third proportional to 904.92 and 1,232.72 is: 1,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,232.72 = 1,232.72 : x
  2. Step 2: Convert to fraction form
    904.92/1,232.72 = 1,232.72/x
  3. Step 3: Cross multiply
    904.92x = 1,232.72 × 1,232.72
  4. Step 4: Simplify right side
    904.92x = 1,519,595.52
  5. Step 5: Solve for x
    x = 1,519,595.52/904.92
  6. Step 6: Final answer
    x = 1,679.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.