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Finding the Third Proportional to 285,186 and 398,731.50

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Solution

The third proportional to 285,186 and 398,731.50 is: 557,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,186 : 398,731.50 = 398,731.50 : x
  2. Step 2: Convert to fraction form
    285,186/398,731.50 = 398,731.50/x
  3. Step 3: Cross multiply
    285,186x = 398,731.50 × 398,731.50
  4. Step 4: Simplify right side
    285,186x = 158,986,809,092.25
  5. Step 5: Solve for x
    x = 158,986,809,092.25/285,186
  6. Step 6: Final answer
    x = 557,484.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.