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Finding the Third Proportional to 187,271 and 412,717

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Solution

The third proportional to 187,271 and 412,717 is: 909,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,271 : 412,717 = 412,717 : x
  2. Step 2: Convert to fraction form
    187,271/412,717 = 412,717/x
  3. Step 3: Cross multiply
    187,271x = 412,717 × 412,717
  4. Step 4: Simplify right side
    187,271x = 170,335,322,089
  5. Step 5: Solve for x
    x = 170,335,322,089/187,271
  6. Step 6: Final answer
    x = 909,565.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.