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Finding the Third Proportional to 223,381 and 481,753

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Solution

The third proportional to 223,381 and 481,753 is: 1,038,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,381 : 481,753 = 481,753 : x
  2. Step 2: Convert to fraction form
    223,381/481,753 = 481,753/x
  3. Step 3: Cross multiply
    223,381x = 481,753 × 481,753
  4. Step 4: Simplify right side
    223,381x = 232,085,953,009
  5. Step 5: Solve for x
    x = 232,085,953,009/223,381
  6. Step 6: Final answer
    x = 1,038,969.08

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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.