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Finding the Third Proportional to 423,651 and 649,003.50

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Solution

The third proportional to 423,651 and 649,003.50 is: 994,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,651 : 649,003.50 = 649,003.50 : x
  2. Step 2: Convert to fraction form
    423,651/649,003.50 = 649,003.50/x
  3. Step 3: Cross multiply
    423,651x = 649,003.50 × 649,003.50
  4. Step 4: Simplify right side
    423,651x = 421,205,543,012.25
  5. Step 5: Solve for x
    x = 421,205,543,012.25/423,651
  6. Step 6: Final answer
    x = 994,227.66

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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.