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Finding the Third Proportional to 674.16 and 1,012.08

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Solution

The third proportional to 674.16 and 1,012.08 is: 1,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.16 : 1,012.08 = 1,012.08 : x
  2. Step 2: Convert to fraction form
    674.16/1,012.08 = 1,012.08/x
  3. Step 3: Cross multiply
    674.16x = 1,012.08 × 1,012.08
  4. Step 4: Simplify right side
    674.16x = 1,024,302.13
  5. Step 5: Solve for x
    x = 1,024,302.13/674.16
  6. Step 6: Final answer
    x = 1,519.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.