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Finding the Third Proportional to 666.35 and 1,460.85

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Solution

The third proportional to 666.35 and 1,460.85 is: 3,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 1,460.85 = 1,460.85 : x
  2. Step 2: Convert to fraction form
    666.35/1,460.85 = 1,460.85/x
  3. Step 3: Cross multiply
    666.35x = 1,460.85 × 1,460.85
  4. Step 4: Simplify right side
    666.35x = 2,134,075.87
  5. Step 5: Solve for x
    x = 2,134,075.87/666.35
  6. Step 6: Final answer
    x = 3,202.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.