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Finding the Third Proportional to 259,476.75 and 563,233.50

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Solution

The third proportional to 259,476.75 and 563,233.50 is: 1,222,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,476.75 : 563,233.50 = 563,233.50 : x
  2. Step 2: Convert to fraction form
    259,476.75/563,233.50 = 563,233.50/x
  3. Step 3: Cross multiply
    259,476.75x = 563,233.50 × 563,233.50
  4. Step 4: Simplify right side
    259,476.75x = 317,231,975,522.25
  5. Step 5: Solve for x
    x = 317,231,975,522.25/259,476.75
  6. Step 6: Final answer
    x = 1,222,583.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.