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Finding the Third Proportional to 573,401 and 801,997

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Solution

The third proportional to 573,401 and 801,997 is: 1,121,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,401 : 801,997 = 801,997 : x
  2. Step 2: Convert to fraction form
    573,401/801,997 = 801,997/x
  3. Step 3: Cross multiply
    573,401x = 801,997 × 801,997
  4. Step 4: Simplify right side
    573,401x = 643,199,188,009
  5. Step 5: Solve for x
    x = 643,199,188,009/573,401
  6. Step 6: Final answer
    x = 1,121,726.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.