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Finding the Third Proportional to 577,822 and 898,205

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Solution

The third proportional to 577,822 and 898,205 is: 1,396,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,822 : 898,205 = 898,205 : x
  2. Step 2: Convert to fraction form
    577,822/898,205 = 898,205/x
  3. Step 3: Cross multiply
    577,822x = 898,205 × 898,205
  4. Step 4: Simplify right side
    577,822x = 806,772,222,025
  5. Step 5: Solve for x
    x = 806,772,222,025/577,822
  6. Step 6: Final answer
    x = 1,396,229.67

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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.