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Finding the Third Proportional to 221,483 and 483,563

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Solution

The third proportional to 221,483 and 483,563 is: 1,055,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,483 : 483,563 = 483,563 : x
  2. Step 2: Convert to fraction form
    221,483/483,563 = 483,563/x
  3. Step 3: Cross multiply
    221,483x = 483,563 × 483,563
  4. Step 4: Simplify right side
    221,483x = 233,833,174,969
  5. Step 5: Solve for x
    x = 233,833,174,969/221,483
  6. Step 6: Final answer
    x = 1,055,761.28

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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.