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Finding the Third Proportional to 225,919.69 and 489,033

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Solution

The third proportional to 225,919.69 and 489,033 is: 1,058,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,919.69 : 489,033 = 489,033 : x
  2. Step 2: Convert to fraction form
    225,919.69/489,033 = 489,033/x
  3. Step 3: Cross multiply
    225,919.69x = 489,033 × 489,033
  4. Step 4: Simplify right side
    225,919.69x = 239,153,275,089
  5. Step 5: Solve for x
    x = 239,153,275,089/225,919.69
  6. Step 6: Final answer
    x = 1,058,576.51

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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.