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Finding the Third Proportional to 675.75 and 1,411.50

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Solution

The third proportional to 675.75 and 1,411.50 is: 2,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,411.50 = 1,411.50 : x
  2. Step 2: Convert to fraction form
    675.75/1,411.50 = 1,411.50/x
  3. Step 3: Cross multiply
    675.75x = 1,411.50 × 1,411.50
  4. Step 4: Simplify right side
    675.75x = 1,992,332.25
  5. Step 5: Solve for x
    x = 1,992,332.25/675.75
  6. Step 6: Final answer
    x = 2,948.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.