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Finding the Third Proportional to 575,448.75 and 871,168.13

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Solution

The third proportional to 575,448.75 and 871,168.13 is: 1,318,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,448.75 : 871,168.13 = 871,168.13 : x
  2. Step 2: Convert to fraction form
    575,448.75/871,168.13 = 871,168.13/x
  3. Step 3: Cross multiply
    575,448.75x = 871,168.13 × 871,168.13
  4. Step 4: Simplify right side
    575,448.75x = 758,933,902,016.02
  5. Step 5: Solve for x
    x = 758,933,902,016.02/575,448.75
  6. Step 6: Final answer
    x = 1,318,855.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.