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Finding the Third Proportional to 223,456 and 481,904

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Solution

The third proportional to 223,456 and 481,904 is: 1,039,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456 : 481,904 = 481,904 : x
  2. Step 2: Convert to fraction form
    223,456/481,904 = 481,904/x
  3. Step 3: Cross multiply
    223,456x = 481,904 × 481,904
  4. Step 4: Simplify right side
    223,456x = 232,231,465,216
  5. Step 5: Solve for x
    x = 232,231,465,216/223,456
  6. Step 6: Final answer
    x = 1,039,271.56

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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.