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Finding the Third Proportional to 308,809.50 and 650,824.50

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Solution

The third proportional to 308,809.50 and 650,824.50 is: 1,371,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,809.50 : 650,824.50 = 650,824.50 : x
  2. Step 2: Convert to fraction form
    308,809.50/650,824.50 = 650,824.50/x
  3. Step 3: Cross multiply
    308,809.50x = 650,824.50 × 650,824.50
  4. Step 4: Simplify right side
    308,809.50x = 423,572,529,800.25
  5. Step 5: Solve for x
    x = 423,572,529,800.25/308,809.50
  6. Step 6: Final answer
    x = 1,371,630.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.