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Finding the Third Proportional to 457.78 and 970.13

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Solution

The third proportional to 457.78 and 970.13 is: 2,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.78 : 970.13 = 970.13 : x
  2. Step 2: Convert to fraction form
    457.78/970.13 = 970.13/x
  3. Step 3: Cross multiply
    457.78x = 970.13 × 970.13
  4. Step 4: Simplify right side
    457.78x = 941,142.52
  5. Step 5: Solve for x
    x = 941,142.52/457.78
  6. Step 6: Final answer
    x = 2,055.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.