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Finding the Third Proportional to 561.75 and 864.13

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Solution

The third proportional to 561.75 and 864.13 is: 1,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 864.13 = 864.13 : x
  2. Step 2: Convert to fraction form
    561.75/864.13 = 864.13/x
  3. Step 3: Cross multiply
    561.75x = 864.13 × 864.13
  4. Step 4: Simplify right side
    561.75x = 746,712.02
  5. Step 5: Solve for x
    x = 746,712.02/561.75
  6. Step 6: Final answer
    x = 1,329.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.