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Finding the Third Proportional to 577,828 and 898,210

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Solution

The third proportional to 577,828 and 898,210 is: 1,396,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,828 : 898,210 = 898,210 : x
  2. Step 2: Convert to fraction form
    577,828/898,210 = 898,210/x
  3. Step 3: Cross multiply
    577,828x = 898,210 × 898,210
  4. Step 4: Simplify right side
    577,828x = 806,781,204,100
  5. Step 5: Solve for x
    x = 806,781,204,100/577,828
  6. Step 6: Final answer
    x = 1,396,230.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.