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Finding the Third Proportional to 423,976.50 and 914,424.75

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Solution

The third proportional to 423,976.50 and 914,424.75 is: 1,972,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,976.50 : 914,424.75 = 914,424.75 : x
  2. Step 2: Convert to fraction form
    423,976.50/914,424.75 = 914,424.75/x
  3. Step 3: Cross multiply
    423,976.50x = 914,424.75 × 914,424.75
  4. Step 4: Simplify right side
    423,976.50x = 836,172,623,412.56
  5. Step 5: Solve for x
    x = 836,172,623,412.56/423,976.50
  6. Step 6: Final answer
    x = 1,972,214.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.