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Finding the Third Proportional to 497.25 and 775.13

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Solution

The third proportional to 497.25 and 775.13 is: 1,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 775.13 = 775.13 : x
  2. Step 2: Convert to fraction form
    497.25/775.13 = 775.13/x
  3. Step 3: Cross multiply
    497.25x = 775.13 × 775.13
  4. Step 4: Simplify right side
    497.25x = 600,818.77
  5. Step 5: Solve for x
    x = 600,818.77/497.25
  6. Step 6: Final answer
    x = 1,208.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.