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Finding the Third Proportional to 577,859 and 898,262

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Solution

The third proportional to 577,859 and 898,262 is: 1,396,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,859 : 898,262 = 898,262 : x
  2. Step 2: Convert to fraction form
    577,859/898,262 = 898,262/x
  3. Step 3: Cross multiply
    577,859x = 898,262 × 898,262
  4. Step 4: Simplify right side
    577,859x = 806,874,620,644
  5. Step 5: Solve for x
    x = 806,874,620,644/577,859
  6. Step 6: Final answer
    x = 1,396,317.48

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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.