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Finding the Third Proportional to 924.38 and 1,978.13

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Solution

The third proportional to 924.38 and 1,978.13 is: 4,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.38 : 1,978.13 = 1,978.13 : x
  2. Step 2: Convert to fraction form
    924.38/1,978.13 = 1,978.13/x
  3. Step 3: Cross multiply
    924.38x = 1,978.13 × 1,978.13
  4. Step 4: Simplify right side
    924.38x = 3,912,978.52
  5. Step 5: Solve for x
    x = 3,912,978.52/924.38
  6. Step 6: Final answer
    x = 4,233.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.