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Finding the Third Proportional to 349,859.25 and 524,697.75

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Solution

The third proportional to 349,859.25 and 524,697.75 is: 786,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,859.25 : 524,697.75 = 524,697.75 : x
  2. Step 2: Convert to fraction form
    349,859.25/524,697.75 = 524,697.75/x
  3. Step 3: Cross multiply
    349,859.25x = 524,697.75 × 524,697.75
  4. Step 4: Simplify right side
    349,859.25x = 275,307,728,855.06
  5. Step 5: Solve for x
    x = 275,307,728,855.06/349,859.25
  6. Step 6: Final answer
    x = 786,909.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.