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Finding the Third Proportional to 924.80 and 1,396.76

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Solution

The third proportional to 924.80 and 1,396.76 is: 2,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.80 : 1,396.76 = 1,396.76 : x
  2. Step 2: Convert to fraction form
    924.80/1,396.76 = 1,396.76/x
  3. Step 3: Cross multiply
    924.80x = 1,396.76 × 1,396.76
  4. Step 4: Simplify right side
    924.80x = 1,950,932.39
  5. Step 5: Solve for x
    x = 1,950,932.39/924.80
  6. Step 6: Final answer
    x = 2,109.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.