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Finding the Third Proportional to 782 and 895

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Solution

The third proportional to 782 and 895 is: 1,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 895 = 895 : x
  2. Step 2: Convert to fraction form
    782/895 = 895/x
  3. Step 3: Cross multiply
    782x = 895 × 895
  4. Step 4: Simplify right side
    782x = 801,025
  5. Step 5: Solve for x
    x = 801,025/782
  6. Step 6: Final answer
    x = 1,024.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.