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Finding the Third Proportional to 250,250 and 539,863

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Solution

The third proportional to 250,250 and 539,863 is: 1,164,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,250 : 539,863 = 539,863 : x
  2. Step 2: Convert to fraction form
    250,250/539,863 = 539,863/x
  3. Step 3: Cross multiply
    250,250x = 539,863 × 539,863
  4. Step 4: Simplify right side
    250,250x = 291,452,058,769
  5. Step 5: Solve for x
    x = 291,452,058,769/250,250
  6. Step 6: Final answer
    x = 1,164,643.59

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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.