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Finding the Third Proportional to 388,129 and 617,185.50

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Solution

The third proportional to 388,129 and 617,185.50 is: 981,420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,129 : 617,185.50 = 617,185.50 : x
  2. Step 2: Convert to fraction form
    388,129/617,185.50 = 617,185.50/x
  3. Step 3: Cross multiply
    388,129x = 617,185.50 × 617,185.50
  4. Step 4: Simplify right side
    388,129x = 380,917,941,410.25
  5. Step 5: Solve for x
    x = 380,917,941,410.25/388,129
  6. Step 6: Final answer
    x = 981,420.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.