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Finding the Third Proportional to 388,185 and 617,269.50

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Solution

The third proportional to 388,185 and 617,269.50 is: 981,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,185 : 617,269.50 = 617,269.50 : x
  2. Step 2: Convert to fraction form
    388,185/617,269.50 = 617,269.50/x
  3. Step 3: Cross multiply
    388,185x = 617,269.50 × 617,269.50
  4. Step 4: Simplify right side
    388,185x = 381,021,635,630.25
  5. Step 5: Solve for x
    x = 381,021,635,630.25/388,185
  6. Step 6: Final answer
    x = 981,546.52

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Why These Related Problems?

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