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Finding the Third Proportional to 223,413 and 481,818

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Solution

The third proportional to 223,413 and 481,818 is: 1,039,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,413 : 481,818 = 481,818 : x
  2. Step 2: Convert to fraction form
    223,413/481,818 = 481,818/x
  3. Step 3: Cross multiply
    223,413x = 481,818 × 481,818
  4. Step 4: Simplify right side
    223,413x = 232,148,585,124
  5. Step 5: Solve for x
    x = 232,148,585,124/223,413
  6. Step 6: Final answer
    x = 1,039,100.61

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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.