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Finding the Third Proportional to 399,249 and 600,493.50

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Solution

The third proportional to 399,249 and 600,493.50 is: 903,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,249 : 600,493.50 = 600,493.50 : x
  2. Step 2: Convert to fraction form
    399,249/600,493.50 = 600,493.50/x
  3. Step 3: Cross multiply
    399,249x = 600,493.50 × 600,493.50
  4. Step 4: Simplify right side
    399,249x = 360,592,443,542.25
  5. Step 5: Solve for x
    x = 360,592,443,542.25/399,249
  6. Step 6: Final answer
    x = 903,176.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.