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Finding the Third Proportional to 934.74 and 1,217.02

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Solution

The third proportional to 934.74 and 1,217.02 is: 1,584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.74 : 1,217.02 = 1,217.02 : x
  2. Step 2: Convert to fraction form
    934.74/1,217.02 = 1,217.02/x
  3. Step 3: Cross multiply
    934.74x = 1,217.02 × 1,217.02
  4. Step 4: Simplify right side
    934.74x = 1,481,130.60
  5. Step 5: Solve for x
    x = 1,481,130.60/934.74
  6. Step 6: Final answer
    x = 1,584.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.