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Finding the Third Proportional to 261,022 and 569,983

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Solution

The third proportional to 261,022 and 569,983 is: 1,244,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,022 : 569,983 = 569,983 : x
  2. Step 2: Convert to fraction form
    261,022/569,983 = 569,983/x
  3. Step 3: Cross multiply
    261,022x = 569,983 × 569,983
  4. Step 4: Simplify right side
    261,022x = 324,880,620,289
  5. Step 5: Solve for x
    x = 324,880,620,289/261,022
  6. Step 6: Final answer
    x = 1,244,648.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.