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Finding the Third Proportional to 456 and 974

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Solution

The third proportional to 456 and 974 is: 2,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 974 = 974 : x
  2. Step 2: Convert to fraction form
    456/974 = 974/x
  3. Step 3: Cross multiply
    456x = 974 × 974
  4. Step 4: Simplify right side
    456x = 948,676
  5. Step 5: Solve for x
    x = 948,676/456
  6. Step 6: Final answer
    x = 2,080.43

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Why These Related Problems?

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