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Finding the Third Proportional to 412,941.75 and 914,320.88

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Solution

The third proportional to 412,941.75 and 914,320.88 is: 2,024,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,941.75 : 914,320.88 = 914,320.88 : x
  2. Step 2: Convert to fraction form
    412,941.75/914,320.88 = 914,320.88/x
  3. Step 3: Cross multiply
    412,941.75x = 914,320.88 × 914,320.88
  4. Step 4: Simplify right side
    412,941.75x = 835,982,662,460.77
  5. Step 5: Solve for x
    x = 835,982,662,460.77/412,941.75
  6. Step 6: Final answer
    x = 2,024,456.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.