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Finding the Third Proportional to 531.44 and 797.70

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Solution

The third proportional to 531.44 and 797.70 is: 1,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 797.70 = 797.70 : x
  2. Step 2: Convert to fraction form
    531.44/797.70 = 797.70/x
  3. Step 3: Cross multiply
    531.44x = 797.70 × 797.70
  4. Step 4: Simplify right side
    531.44x = 636,324.82
  5. Step 5: Solve for x
    x = 636,324.82/531.44
  6. Step 6: Final answer
    x = 1,197.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.