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Finding the Third Proportional to 401,116.50 and 871,353

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Solution

The third proportional to 401,116.50 and 871,353 is: 1,892,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,116.50 : 871,353 = 871,353 : x
  2. Step 2: Convert to fraction form
    401,116.50/871,353 = 871,353/x
  3. Step 3: Cross multiply
    401,116.50x = 871,353 × 871,353
  4. Step 4: Simplify right side
    401,116.50x = 759,256,050,609
  5. Step 5: Solve for x
    x = 759,256,050,609/401,116.50
  6. Step 6: Final answer
    x = 1,892,856.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.