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Finding the Third Proportional to 577,824 and 898,208

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Solution

The third proportional to 577,824 and 898,208 is: 1,396,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,824 : 898,208 = 898,208 : x
  2. Step 2: Convert to fraction form
    577,824/898,208 = 898,208/x
  3. Step 3: Cross multiply
    577,824x = 898,208 × 898,208
  4. Step 4: Simplify right side
    577,824x = 806,777,611,264
  5. Step 5: Solve for x
    x = 806,777,611,264/577,824
  6. Step 6: Final answer
    x = 1,396,234.17

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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.