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Finding the Third Proportional to 523.97 and 785.95

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Solution

The third proportional to 523.97 and 785.95 is: 1,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 785.95 = 785.95 : x
  2. Step 2: Convert to fraction form
    523.97/785.95 = 785.95/x
  3. Step 3: Cross multiply
    523.97x = 785.95 × 785.95
  4. Step 4: Simplify right side
    523.97x = 617,722.31
  5. Step 5: Solve for x
    x = 617,722.31/523.97
  6. Step 6: Final answer
    x = 1,178.93

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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.