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Finding the Third Proportional to 409,131.50 and 875,125

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Solution

The third proportional to 409,131.50 and 875,125 is: 1,871,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,131.50 : 875,125 = 875,125 : x
  2. Step 2: Convert to fraction form
    409,131.50/875,125 = 875,125/x
  3. Step 3: Cross multiply
    409,131.50x = 875,125 × 875,125
  4. Step 4: Simplify right side
    409,131.50x = 765,843,765,625
  5. Step 5: Solve for x
    x = 765,843,765,625/409,131.50
  6. Step 6: Final answer
    x = 1,871,876.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.