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Finding the Third Proportional to 315,227 and 471,727

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Solution

The third proportional to 315,227 and 471,727 is: 705,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,227 : 471,727 = 471,727 : x
  2. Step 2: Convert to fraction form
    315,227/471,727 = 471,727/x
  3. Step 3: Cross multiply
    315,227x = 471,727 × 471,727
  4. Step 4: Simplify right side
    315,227x = 222,526,362,529
  5. Step 5: Solve for x
    x = 222,526,362,529/315,227
  6. Step 6: Final answer
    x = 705,924.18

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Why These Related Problems?

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