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Finding the Third Proportional to 308,508.75 and 468,715.50

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Solution

The third proportional to 308,508.75 and 468,715.50 is: 712,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,508.75 : 468,715.50 = 468,715.50 : x
  2. Step 2: Convert to fraction form
    308,508.75/468,715.50 = 468,715.50/x
  3. Step 3: Cross multiply
    308,508.75x = 468,715.50 × 468,715.50
  4. Step 4: Simplify right side
    308,508.75x = 219,694,219,940.25
  5. Step 5: Solve for x
    x = 219,694,219,940.25/308,508.75
  6. Step 6: Final answer
    x = 712,116.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.