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Finding the Third Proportional to 484.50 and 749.50

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Solution

The third proportional to 484.50 and 749.50 is: 1,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.50 : 749.50 = 749.50 : x
  2. Step 2: Convert to fraction form
    484.50/749.50 = 749.50/x
  3. Step 3: Cross multiply
    484.50x = 749.50 × 749.50
  4. Step 4: Simplify right side
    484.50x = 561,750.25
  5. Step 5: Solve for x
    x = 561,750.25/484.50
  6. Step 6: Final answer
    x = 1,159.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.