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Finding the Third Proportional to 399,910.50 and 613,230

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Solution

The third proportional to 399,910.50 and 613,230 is: 940,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,910.50 : 613,230 = 613,230 : x
  2. Step 2: Convert to fraction form
    399,910.50/613,230 = 613,230/x
  3. Step 3: Cross multiply
    399,910.50x = 613,230 × 613,230
  4. Step 4: Simplify right side
    399,910.50x = 376,051,032,900
  5. Step 5: Solve for x
    x = 376,051,032,900/399,910.50
  6. Step 6: Final answer
    x = 940,337.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.