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Finding the Third Proportional to 612.75 and 1,417.13

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Solution

The third proportional to 612.75 and 1,417.13 is: 3,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 1,417.13 = 1,417.13 : x
  2. Step 2: Convert to fraction form
    612.75/1,417.13 = 1,417.13/x
  3. Step 3: Cross multiply
    612.75x = 1,417.13 × 1,417.13
  4. Step 4: Simplify right side
    612.75x = 2,008,243.27
  5. Step 5: Solve for x
    x = 2,008,243.27/612.75
  6. Step 6: Final answer
    x = 3,277.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.