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Finding the Third Proportional to 680.51 and 1,490.70

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Solution

The third proportional to 680.51 and 1,490.70 is: 3,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.51 : 1,490.70 = 1,490.70 : x
  2. Step 2: Convert to fraction form
    680.51/1,490.70 = 1,490.70/x
  3. Step 3: Cross multiply
    680.51x = 1,490.70 × 1,490.70
  4. Step 4: Simplify right side
    680.51x = 2,222,172.51
  5. Step 5: Solve for x
    x = 2,222,172.51/680.51
  6. Step 6: Final answer
    x = 3,265.46

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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.