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Finding the Third Proportional to 464.92 and 1,012.74

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Solution

The third proportional to 464.92 and 1,012.74 is: 2,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 1,012.74 = 1,012.74 : x
  2. Step 2: Convert to fraction form
    464.92/1,012.74 = 1,012.74/x
  3. Step 3: Cross multiply
    464.92x = 1,012.74 × 1,012.74
  4. Step 4: Simplify right side
    464.92x = 1,025,646.86
  5. Step 5: Solve for x
    x = 1,025,646.86/464.92
  6. Step 6: Final answer
    x = 2,206.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.