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Finding the Third Proportional to 649.13 and 1,402.25

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Solution

The third proportional to 649.13 and 1,402.25 is: 3,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.13 : 1,402.25 = 1,402.25 : x
  2. Step 2: Convert to fraction form
    649.13/1,402.25 = 1,402.25/x
  3. Step 3: Cross multiply
    649.13x = 1,402.25 × 1,402.25
  4. Step 4: Simplify right side
    649.13x = 1,966,305.06
  5. Step 5: Solve for x
    x = 1,966,305.06/649.13
  6. Step 6: Final answer
    x = 3,029.16

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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.