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Finding the Third Proportional to 534,441.50 and 802,357

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Solution

The third proportional to 534,441.50 and 802,357 is: 1,204,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,441.50 : 802,357 = 802,357 : x
  2. Step 2: Convert to fraction form
    534,441.50/802,357 = 802,357/x
  3. Step 3: Cross multiply
    534,441.50x = 802,357 × 802,357
  4. Step 4: Simplify right side
    534,441.50x = 643,776,755,449
  5. Step 5: Solve for x
    x = 643,776,755,449/534,441.50
  6. Step 6: Final answer
    x = 1,204,578.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.