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Finding the Third Proportional to 593,364 and 918,204

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Solution

The third proportional to 593,364 and 918,204 is: 1,420,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,364 : 918,204 = 918,204 : x
  2. Step 2: Convert to fraction form
    593,364/918,204 = 918,204/x
  3. Step 3: Cross multiply
    593,364x = 918,204 × 918,204
  4. Step 4: Simplify right side
    593,364x = 843,098,585,616
  5. Step 5: Solve for x
    x = 843,098,585,616/593,364
  6. Step 6: Final answer
    x = 1,420,879.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.