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Finding the Third Proportional to 296,227 and 423,306

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Solution

The third proportional to 296,227 and 423,306 is: 604,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,227 : 423,306 = 423,306 : x
  2. Step 2: Convert to fraction form
    296,227/423,306 = 423,306/x
  3. Step 3: Cross multiply
    296,227x = 423,306 × 423,306
  4. Step 4: Simplify right side
    296,227x = 179,187,969,636
  5. Step 5: Solve for x
    x = 179,187,969,636/296,227
  6. Step 6: Final answer
    x = 604,900.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.