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Finding the Third Proportional to 402.47 and 864.84

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Solution

The third proportional to 402.47 and 864.84 is: 1,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.47 : 864.84 = 864.84 : x
  2. Step 2: Convert to fraction form
    402.47/864.84 = 864.84/x
  3. Step 3: Cross multiply
    402.47x = 864.84 × 864.84
  4. Step 4: Simplify right side
    402.47x = 747,954.71
  5. Step 5: Solve for x
    x = 747,954.71/402.47
  6. Step 6: Final answer
    x = 1,858.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.