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Finding the Third Proportional to 648.75 and 1,402.13

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Solution

The third proportional to 648.75 and 1,402.13 is: 3,030.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 1,402.13 = 1,402.13 : x
  2. Step 2: Convert to fraction form
    648.75/1,402.13 = 1,402.13/x
  3. Step 3: Cross multiply
    648.75x = 1,402.13 × 1,402.13
  4. Step 4: Simplify right side
    648.75x = 1,965,954.52
  5. Step 5: Solve for x
    x = 1,965,954.52/648.75
  6. Step 6: Final answer
    x = 3,030.37

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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.