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Finding the Third Proportional to 482.25 and 775.88

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Solution

The third proportional to 482.25 and 775.88 is: 1,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 775.88 = 775.88 : x
  2. Step 2: Convert to fraction form
    482.25/775.88 = 775.88/x
  3. Step 3: Cross multiply
    482.25x = 775.88 × 775.88
  4. Step 4: Simplify right side
    482.25x = 601,982.02
  5. Step 5: Solve for x
    x = 601,982.02/482.25
  6. Step 6: Final answer
    x = 1,248.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.