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Finding the Third Proportional to 674.89 and 1,460.85

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Solution

The third proportional to 674.89 and 1,460.85 is: 3,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.89 : 1,460.85 = 1,460.85 : x
  2. Step 2: Convert to fraction form
    674.89/1,460.85 = 1,460.85/x
  3. Step 3: Cross multiply
    674.89x = 1,460.85 × 1,460.85
  4. Step 4: Simplify right side
    674.89x = 2,134,075.87
  5. Step 5: Solve for x
    x = 2,134,075.87/674.89
  6. Step 6: Final answer
    x = 3,162.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.