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Finding the Third Proportional to 464,997 and 658,151.25

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Solution

The third proportional to 464,997 and 658,151.25 is: 931,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,997 : 658,151.25 = 658,151.25 : x
  2. Step 2: Convert to fraction form
    464,997/658,151.25 = 658,151.25/x
  3. Step 3: Cross multiply
    464,997x = 658,151.25 × 658,151.25
  4. Step 4: Simplify right side
    464,997x = 433,163,067,876.56
  5. Step 5: Solve for x
    x = 433,163,067,876.56/464,997
  6. Step 6: Final answer
    x = 931,539.49

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.