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Finding the Third Proportional to 237,422 and 501,330

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Solution

The third proportional to 237,422 and 501,330 is: 1,058,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,422 : 501,330 = 501,330 : x
  2. Step 2: Convert to fraction form
    237,422/501,330 = 501,330/x
  3. Step 3: Cross multiply
    237,422x = 501,330 × 501,330
  4. Step 4: Simplify right side
    237,422x = 251,331,768,900
  5. Step 5: Solve for x
    x = 251,331,768,900/237,422
  6. Step 6: Final answer
    x = 1,058,586.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.