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Finding the Third Proportional to 389.38 and 909.88

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Solution

The third proportional to 389.38 and 909.88 is: 2,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.38 : 909.88 = 909.88 : x
  2. Step 2: Convert to fraction form
    389.38/909.88 = 909.88/x
  3. Step 3: Cross multiply
    389.38x = 909.88 × 909.88
  4. Step 4: Simplify right side
    389.38x = 827,872.52
  5. Step 5: Solve for x
    x = 827,872.52/389.38
  6. Step 6: Final answer
    x = 2,126.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.