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Finding the Third Proportional to 562.94 and 823.38

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Solution

The third proportional to 562.94 and 823.38 is: 1,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 823.38 = 823.38 : x
  2. Step 2: Convert to fraction form
    562.94/823.38 = 823.38/x
  3. Step 3: Cross multiply
    562.94x = 823.38 × 823.38
  4. Step 4: Simplify right side
    562.94x = 677,946.39
  5. Step 5: Solve for x
    x = 677,946.39/562.94
  6. Step 6: Final answer
    x = 1,204.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.