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Finding the Third Proportional to 901.76 and 1,212.79

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Solution

The third proportional to 901.76 and 1,212.79 is: 1,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.76 : 1,212.79 = 1,212.79 : x
  2. Step 2: Convert to fraction form
    901.76/1,212.79 = 1,212.79/x
  3. Step 3: Cross multiply
    901.76x = 1,212.79 × 1,212.79
  4. Step 4: Simplify right side
    901.76x = 1,470,847.84
  5. Step 5: Solve for x
    x = 1,470,847.84/901.76
  6. Step 6: Final answer
    x = 1,631.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.