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Finding the Third Proportional to 582.75 and 787.78

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Solution

The third proportional to 582.75 and 787.78 is: 1,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 787.78 = 787.78 : x
  2. Step 2: Convert to fraction form
    582.75/787.78 = 787.78/x
  3. Step 3: Cross multiply
    582.75x = 787.78 × 787.78
  4. Step 4: Simplify right side
    582.75x = 620,599.30
  5. Step 5: Solve for x
    x = 620,599.30/582.75
  6. Step 6: Final answer
    x = 1,064.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.