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Finding the Third Proportional to 782 and 953

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Solution

The third proportional to 782 and 953 is: 1,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 953 = 953 : x
  2. Step 2: Convert to fraction form
    782/953 = 953/x
  3. Step 3: Cross multiply
    782x = 953 × 953
  4. Step 4: Simplify right side
    782x = 908,209
  5. Step 5: Solve for x
    x = 908,209/782
  6. Step 6: Final answer
    x = 1,161.39

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.