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Finding the Third Proportional to 259,401.50 and 568,012

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Solution

The third proportional to 259,401.50 and 568,012 is: 1,243,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,401.50 : 568,012 = 568,012 : x
  2. Step 2: Convert to fraction form
    259,401.50/568,012 = 568,012/x
  3. Step 3: Cross multiply
    259,401.50x = 568,012 × 568,012
  4. Step 4: Simplify right side
    259,401.50x = 322,637,632,144
  5. Step 5: Solve for x
    x = 322,637,632,144/259,401.50
  6. Step 6: Final answer
    x = 1,243,777.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.