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Finding the Third Proportional to 412,843.50 and 909,490.50

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Solution

The third proportional to 412,843.50 and 909,490.50 is: 2,003,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,843.50 : 909,490.50 = 909,490.50 : x
  2. Step 2: Convert to fraction form
    412,843.50/909,490.50 = 909,490.50/x
  3. Step 3: Cross multiply
    412,843.50x = 909,490.50 × 909,490.50
  4. Step 4: Simplify right side
    412,843.50x = 827,172,969,590.25
  5. Step 5: Solve for x
    x = 827,172,969,590.25/412,843.50
  6. Step 6: Final answer
    x = 2,003,599.35

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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.