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Finding the Third Proportional to 418.78 and 970.03

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Solution

The third proportional to 418.78 and 970.03 is: 2,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 970.03 = 970.03 : x
  2. Step 2: Convert to fraction form
    418.78/970.03 = 970.03/x
  3. Step 3: Cross multiply
    418.78x = 970.03 × 970.03
  4. Step 4: Simplify right side
    418.78x = 940,960.63
  5. Step 5: Solve for x
    x = 940,960.63/418.78
  6. Step 6: Final answer
    x = 2,246.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.