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Finding the Third Proportional to 324,554 and 474,273

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Solution

The third proportional to 324,554 and 474,273 is: 693,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,554 : 474,273 = 474,273 : x
  2. Step 2: Convert to fraction form
    324,554/474,273 = 474,273/x
  3. Step 3: Cross multiply
    324,554x = 474,273 × 474,273
  4. Step 4: Simplify right side
    324,554x = 224,934,878,529
  5. Step 5: Solve for x
    x = 224,934,878,529/324,554
  6. Step 6: Final answer
    x = 693,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.