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Finding the Third Proportional to 404,845.50 and 871,971

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Solution

The third proportional to 404,845.50 and 871,971 is: 1,878,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,845.50 : 871,971 = 871,971 : x
  2. Step 2: Convert to fraction form
    404,845.50/871,971 = 871,971/x
  3. Step 3: Cross multiply
    404,845.50x = 871,971 × 871,971
  4. Step 4: Simplify right side
    404,845.50x = 760,333,424,841
  5. Step 5: Solve for x
    x = 760,333,424,841/404,845.50
  6. Step 6: Final answer
    x = 1,878,082.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.