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Finding the Third Proportional to 223,306 and 481,596

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Solution

The third proportional to 223,306 and 481,596 is: 1,038,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,306 : 481,596 = 481,596 : x
  2. Step 2: Convert to fraction form
    223,306/481,596 = 481,596/x
  3. Step 3: Cross multiply
    223,306x = 481,596 × 481,596
  4. Step 4: Simplify right side
    223,306x = 231,934,707,216
  5. Step 5: Solve for x
    x = 231,934,707,216/223,306
  6. Step 6: Final answer
    x = 1,038,640.73

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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.