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Finding the Third Proportional to 230,048 and 501,922

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Solution

The third proportional to 230,048 and 501,922 is: 1,095,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,048 : 501,922 = 501,922 : x
  2. Step 2: Convert to fraction form
    230,048/501,922 = 501,922/x
  3. Step 3: Cross multiply
    230,048x = 501,922 × 501,922
  4. Step 4: Simplify right side
    230,048x = 251,925,694,084
  5. Step 5: Solve for x
    x = 251,925,694,084/230,048
  6. Step 6: Final answer
    x = 1,095,100.56

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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.