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Finding the Third Proportional to 924.19 and 1,366.31

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Solution

The third proportional to 924.19 and 1,366.31 is: 2,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.19 : 1,366.31 = 1,366.31 : x
  2. Step 2: Convert to fraction form
    924.19/1,366.31 = 1,366.31/x
  3. Step 3: Cross multiply
    924.19x = 1,366.31 × 1,366.31
  4. Step 4: Simplify right side
    924.19x = 1,866,809.85
  5. Step 5: Solve for x
    x = 1,866,809.85/924.19
  6. Step 6: Final answer
    x = 2,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.