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Finding the Third Proportional to 354,039 and 533,997

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Solution

The third proportional to 354,039 and 533,997 is: 805,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,039 : 533,997 = 533,997 : x
  2. Step 2: Convert to fraction form
    354,039/533,997 = 533,997/x
  3. Step 3: Cross multiply
    354,039x = 533,997 × 533,997
  4. Step 4: Simplify right side
    354,039x = 285,152,796,009
  5. Step 5: Solve for x
    x = 285,152,796,009/354,039
  6. Step 6: Final answer
    x = 805,427.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.