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Finding the Third Proportional to 412,132.50 and 899,838

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Solution

The third proportional to 412,132.50 and 899,838 is: 1,964,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,132.50 : 899,838 = 899,838 : x
  2. Step 2: Convert to fraction form
    412,132.50/899,838 = 899,838/x
  3. Step 3: Cross multiply
    412,132.50x = 899,838 × 899,838
  4. Step 4: Simplify right side
    412,132.50x = 809,708,426,244
  5. Step 5: Solve for x
    x = 809,708,426,244/412,132.50
  6. Step 6: Final answer
    x = 1,964,679.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.