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Finding the Third Proportional to 410,110.50 and 900,879

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Solution

The third proportional to 410,110.50 and 900,879 is: 1,978,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,110.50 : 900,879 = 900,879 : x
  2. Step 2: Convert to fraction form
    410,110.50/900,879 = 900,879/x
  3. Step 3: Cross multiply
    410,110.50x = 900,879 × 900,879
  4. Step 4: Simplify right side
    410,110.50x = 811,582,972,641
  5. Step 5: Solve for x
    x = 811,582,972,641/410,110.50
  6. Step 6: Final answer
    x = 1,978,937.32

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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.