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Finding the Third Proportional to 308,974 and 467,814

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Solution

The third proportional to 308,974 and 467,814 is: 708,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,974 : 467,814 = 467,814 : x
  2. Step 2: Convert to fraction form
    308,974/467,814 = 467,814/x
  3. Step 3: Cross multiply
    308,974x = 467,814 × 467,814
  4. Step 4: Simplify right side
    308,974x = 218,849,938,596
  5. Step 5: Solve for x
    x = 218,849,938,596/308,974
  6. Step 6: Final answer
    x = 708,311.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.