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Finding the Third Proportional to 231,354 and 501,588

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Solution

The third proportional to 231,354 and 501,588 is: 1,087,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,354 : 501,588 = 501,588 : x
  2. Step 2: Convert to fraction form
    231,354/501,588 = 501,588/x
  3. Step 3: Cross multiply
    231,354x = 501,588 × 501,588
  4. Step 4: Simplify right side
    231,354x = 251,590,521,744
  5. Step 5: Solve for x
    x = 251,590,521,744/231,354
  6. Step 6: Final answer
    x = 1,087,469.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.