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Finding the Third Proportional to 934.74 and 1,322.74

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Solution

The third proportional to 934.74 and 1,322.74 is: 1,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.74 : 1,322.74 = 1,322.74 : x
  2. Step 2: Convert to fraction form
    934.74/1,322.74 = 1,322.74/x
  3. Step 3: Cross multiply
    934.74x = 1,322.74 × 1,322.74
  4. Step 4: Simplify right side
    934.74x = 1,749,631.39
  5. Step 5: Solve for x
    x = 1,749,631.39/934.74
  6. Step 6: Final answer
    x = 1,871.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.