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Finding the Third Proportional to 223,868 and 483,822

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Solution

The third proportional to 223,868 and 483,822 is: 1,045,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,868 : 483,822 = 483,822 : x
  2. Step 2: Convert to fraction form
    223,868/483,822 = 483,822/x
  3. Step 3: Cross multiply
    223,868x = 483,822 × 483,822
  4. Step 4: Simplify right side
    223,868x = 234,083,727,684
  5. Step 5: Solve for x
    x = 234,083,727,684/223,868
  6. Step 6: Final answer
    x = 1,045,632.82

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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.