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Finding the Third Proportional to 229,824 and 496,544

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Solution

The third proportional to 229,824 and 496,544 is: 1,072,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,824 : 496,544 = 496,544 : x
  2. Step 2: Convert to fraction form
    229,824/496,544 = 496,544/x
  3. Step 3: Cross multiply
    229,824x = 496,544 × 496,544
  4. Step 4: Simplify right side
    229,824x = 246,555,943,936
  5. Step 5: Solve for x
    x = 246,555,943,936/229,824
  6. Step 6: Final answer
    x = 1,072,803.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.