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Finding the Third Proportional to 308,976 and 467,818.50

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Solution

The third proportional to 308,976 and 467,818.50 is: 708,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,976 : 467,818.50 = 467,818.50 : x
  2. Step 2: Convert to fraction form
    308,976/467,818.50 = 467,818.50/x
  3. Step 3: Cross multiply
    308,976x = 467,818.50 × 467,818.50
  4. Step 4: Simplify right side
    308,976x = 218,854,148,942.25
  5. Step 5: Solve for x
    x = 218,854,148,942.25/308,976
  6. Step 6: Final answer
    x = 708,320.87

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