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Finding the Third Proportional to 420,177 and 566,109

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Solution

The third proportional to 420,177 and 566,109 is: 762,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,177 : 566,109 = 566,109 : x
  2. Step 2: Convert to fraction form
    420,177/566,109 = 566,109/x
  3. Step 3: Cross multiply
    420,177x = 566,109 × 566,109
  4. Step 4: Simplify right side
    420,177x = 320,479,399,881
  5. Step 5: Solve for x
    x = 320,479,399,881/420,177
  6. Step 6: Final answer
    x = 762,724.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.