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Finding the Third Proportional to 544,899 and 747,997

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Solution

The third proportional to 544,899 and 747,997 is: 1,026,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,899 : 747,997 = 747,997 : x
  2. Step 2: Convert to fraction form
    544,899/747,997 = 747,997/x
  3. Step 3: Cross multiply
    544,899x = 747,997 × 747,997
  4. Step 4: Simplify right side
    544,899x = 559,499,512,009
  5. Step 5: Solve for x
    x = 559,499,512,009/544,899
  6. Step 6: Final answer
    x = 1,026,794.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.