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Finding the Third Proportional to 412.20 and 907.69

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Solution

The third proportional to 412.20 and 907.69 is: 1,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 907.69 = 907.69 : x
  2. Step 2: Convert to fraction form
    412.20/907.69 = 907.69/x
  3. Step 3: Cross multiply
    412.20x = 907.69 × 907.69
  4. Step 4: Simplify right side
    412.20x = 823,901.92
  5. Step 5: Solve for x
    x = 823,901.92/412.20
  6. Step 6: Final answer
    x = 1,998.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.