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Finding the Third Proportional to 322,914 and 497,997

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Solution

The third proportional to 322,914 and 497,997 is: 768,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,914 : 497,997 = 497,997 : x
  2. Step 2: Convert to fraction form
    322,914/497,997 = 497,997/x
  3. Step 3: Cross multiply
    322,914x = 497,997 × 497,997
  4. Step 4: Simplify right side
    322,914x = 248,001,012,009
  5. Step 5: Solve for x
    x = 248,001,012,009/322,914
  6. Step 6: Final answer
    x = 768,009.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.