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Finding the Third Proportional to 220,824 and 481,752

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Solution

The third proportional to 220,824 and 481,752 is: 1,050,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,824 : 481,752 = 481,752 : x
  2. Step 2: Convert to fraction form
    220,824/481,752 = 481,752/x
  3. Step 3: Cross multiply
    220,824x = 481,752 × 481,752
  4. Step 4: Simplify right side
    220,824x = 232,084,989,504
  5. Step 5: Solve for x
    x = 232,084,989,504/220,824
  6. Step 6: Final answer
    x = 1,050,995.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.