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Finding the Third Proportional to 481,828.50 and 633,754.13

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Solution

The third proportional to 481,828.50 and 633,754.13 is: 833,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,828.50 : 633,754.13 = 633,754.13 : x
  2. Step 2: Convert to fraction form
    481,828.50/633,754.13 = 633,754.13/x
  3. Step 3: Cross multiply
    481,828.50x = 633,754.13 × 633,754.13
  4. Step 4: Simplify right side
    481,828.50x = 401,644,290,954.52
  5. Step 5: Solve for x
    x = 401,644,290,954.52/481,828.50
  6. Step 6: Final answer
    x = 833,583.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.