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Finding the Third Proportional to 250,609 and 550,838

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Solution

The third proportional to 250,609 and 550,838 is: 1,210,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,609 : 550,838 = 550,838 : x
  2. Step 2: Convert to fraction form
    250,609/550,838 = 550,838/x
  3. Step 3: Cross multiply
    250,609x = 550,838 × 550,838
  4. Step 4: Simplify right side
    250,609x = 303,422,502,244
  5. Step 5: Solve for x
    x = 303,422,502,244/250,609
  6. Step 6: Final answer
    x = 1,210,740.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.