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Finding the Third Proportional to 752.84 and 1,197.70

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Solution

The third proportional to 752.84 and 1,197.70 is: 1,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.84 : 1,197.70 = 1,197.70 : x
  2. Step 2: Convert to fraction form
    752.84/1,197.70 = 1,197.70/x
  3. Step 3: Cross multiply
    752.84x = 1,197.70 × 1,197.70
  4. Step 4: Simplify right side
    752.84x = 1,434,492.78
  5. Step 5: Solve for x
    x = 1,434,492.78/752.84
  6. Step 6: Final answer
    x = 1,905.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.