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Finding the Third Proportional to 577,826 and 898,207

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Solution

The third proportional to 577,826 and 898,207 is: 1,396,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,826 : 898,207 = 898,207 : x
  2. Step 2: Convert to fraction form
    577,826/898,207 = 898,207/x
  3. Step 3: Cross multiply
    577,826x = 898,207 × 898,207
  4. Step 4: Simplify right side
    577,826x = 806,775,814,849
  5. Step 5: Solve for x
    x = 806,775,814,849/577,826
  6. Step 6: Final answer
    x = 1,396,226.23

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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.