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Finding the Third Proportional to 223,866 and 483,817

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Solution

The third proportional to 223,866 and 483,817 is: 1,045,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,866 : 483,817 = 483,817 : x
  2. Step 2: Convert to fraction form
    223,866/483,817 = 483,817/x
  3. Step 3: Cross multiply
    223,866x = 483,817 × 483,817
  4. Step 4: Simplify right side
    223,866x = 234,078,889,489
  5. Step 5: Solve for x
    x = 234,078,889,489/223,866
  6. Step 6: Final answer
    x = 1,045,620.55

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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.