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Finding the Third Proportional to 308,616 and 480,967.50

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Solution

The third proportional to 308,616 and 480,967.50 is: 749,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,616 : 480,967.50 = 480,967.50 : x
  2. Step 2: Convert to fraction form
    308,616/480,967.50 = 480,967.50/x
  3. Step 3: Cross multiply
    308,616x = 480,967.50 × 480,967.50
  4. Step 4: Simplify right side
    308,616x = 231,329,736,056.25
  5. Step 5: Solve for x
    x = 231,329,736,056.25/308,616
  6. Step 6: Final answer
    x = 749,571.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.