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Finding the Third Proportional to 223,834 and 480,798

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Solution

The third proportional to 223,834 and 480,798 is: 1,032,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,834 : 480,798 = 480,798 : x
  2. Step 2: Convert to fraction form
    223,834/480,798 = 480,798/x
  3. Step 3: Cross multiply
    223,834x = 480,798 × 480,798
  4. Step 4: Simplify right side
    223,834x = 231,166,716,804
  5. Step 5: Solve for x
    x = 231,166,716,804/223,834
  6. Step 6: Final answer
    x = 1,032,759.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.