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Finding the Third Proportional to 405,931.50 and 871,716.94

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Solution

The third proportional to 405,931.50 and 871,716.94 is: 1,871,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,931.50 : 871,716.94 = 871,716.94 : x
  2. Step 2: Convert to fraction form
    405,931.50/871,716.94 = 871,716.94/x
  3. Step 3: Cross multiply
    405,931.50x = 871,716.94 × 871,716.94
  4. Step 4: Simplify right side
    405,931.50x = 759,890,419,124.38
  5. Step 5: Solve for x
    x = 759,890,419,124.38/405,931.50
  6. Step 6: Final answer
    x = 1,871,967.12

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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.