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Finding the Third Proportional to 283,744 and 617,888

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Solution

The third proportional to 283,744 and 617,888 is: 1,345,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744 : 617,888 = 617,888 : x
  2. Step 2: Convert to fraction form
    283,744/617,888 = 617,888/x
  3. Step 3: Cross multiply
    283,744x = 617,888 × 617,888
  4. Step 4: Simplify right side
    283,744x = 381,785,580,544
  5. Step 5: Solve for x
    x = 381,785,580,544/283,744
  6. Step 6: Final answer
    x = 1,345,528.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.