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Finding the Third Proportional to 575,462.25 and 871,189.50

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Solution

The third proportional to 575,462.25 and 871,189.50 is: 1,318,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,462.25 : 871,189.50 = 871,189.50 : x
  2. Step 2: Convert to fraction form
    575,462.25/871,189.50 = 871,189.50/x
  3. Step 3: Cross multiply
    575,462.25x = 871,189.50 × 871,189.50
  4. Step 4: Simplify right side
    575,462.25x = 758,971,144,910.25
  5. Step 5: Solve for x
    x = 758,971,144,910.25/575,462.25
  6. Step 6: Final answer
    x = 1,318,889.54

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