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Finding the Third Proportional to 833.70 and 1,252.76

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Solution

The third proportional to 833.70 and 1,252.76 is: 1,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,252.76 = 1,252.76 : x
  2. Step 2: Convert to fraction form
    833.70/1,252.76 = 1,252.76/x
  3. Step 3: Cross multiply
    833.70x = 1,252.76 × 1,252.76
  4. Step 4: Simplify right side
    833.70x = 1,569,402.14
  5. Step 5: Solve for x
    x = 1,569,402.14/833.70
  6. Step 6: Final answer
    x = 1,882.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.