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Finding the Third Proportional to 425.75 and 824.13

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Solution

The third proportional to 425.75 and 824.13 is: 1,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 824.13 = 824.13 : x
  2. Step 2: Convert to fraction form
    425.75/824.13 = 824.13/x
  3. Step 3: Cross multiply
    425.75x = 824.13 × 824.13
  4. Step 4: Simplify right side
    425.75x = 679,182.02
  5. Step 5: Solve for x
    x = 679,182.02/425.75
  6. Step 6: Final answer
    x = 1,595.26

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.