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Finding the Third Proportional to 612.14 and 1,418.13

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Solution

The third proportional to 612.14 and 1,418.13 is: 3,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 1,418.13 = 1,418.13 : x
  2. Step 2: Convert to fraction form
    612.14/1,418.13 = 1,418.13/x
  3. Step 3: Cross multiply
    612.14x = 1,418.13 × 1,418.13
  4. Step 4: Simplify right side
    612.14x = 2,011,100.67
  5. Step 5: Solve for x
    x = 2,011,100.67/612.14
  6. Step 6: Final answer
    x = 3,285.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.