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Finding the Third Proportional to 460.37 and 759.85

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Solution

The third proportional to 460.37 and 759.85 is: 1,254.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.37 : 759.85 = 759.85 : x
  2. Step 2: Convert to fraction form
    460.37/759.85 = 759.85/x
  3. Step 3: Cross multiply
    460.37x = 759.85 × 759.85
  4. Step 4: Simplify right side
    460.37x = 577,371.43
  5. Step 5: Solve for x
    x = 577,371.43/460.37
  6. Step 6: Final answer
    x = 1,254.14

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.