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Finding the Third Proportional to 664,209 and 996,997.50

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Solution

The third proportional to 664,209 and 996,997.50 is: 1,496,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,209 : 996,997.50 = 996,997.50 : x
  2. Step 2: Convert to fraction form
    664,209/996,997.50 = 996,997.50/x
  3. Step 3: Cross multiply
    664,209x = 996,997.50 × 996,997.50
  4. Step 4: Simplify right side
    664,209x = 994,004,015,006.25
  5. Step 5: Solve for x
    x = 994,004,015,006.25/664,209
  6. Step 6: Final answer
    x = 1,496,522.95

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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.