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Finding the Third Proportional to 649.69 and 1,410.19

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Solution

The third proportional to 649.69 and 1,410.19 is: 3,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.69 : 1,410.19 = 1,410.19 : x
  2. Step 2: Convert to fraction form
    649.69/1,410.19 = 1,410.19/x
  3. Step 3: Cross multiply
    649.69x = 1,410.19 × 1,410.19
  4. Step 4: Simplify right side
    649.69x = 1,988,628.79
  5. Step 5: Solve for x
    x = 1,988,628.79/649.69
  6. Step 6: Final answer
    x = 3,060.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.