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Finding the Third Proportional to 491 and 762.25

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Solution

The third proportional to 491 and 762.25 is: 1,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491 : 762.25 = 762.25 : x
  2. Step 2: Convert to fraction form
    491/762.25 = 762.25/x
  3. Step 3: Cross multiply
    491x = 762.25 × 762.25
  4. Step 4: Simplify right side
    491x = 581,025.06
  5. Step 5: Solve for x
    x = 581,025.06/491
  6. Step 6: Final answer
    x = 1,183.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.