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Finding the Third Proportional to 250,749 and 538,758

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Solution

The third proportional to 250,749 and 538,758 is: 1,157,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,749 : 538,758 = 538,758 : x
  2. Step 2: Convert to fraction form
    250,749/538,758 = 538,758/x
  3. Step 3: Cross multiply
    250,749x = 538,758 × 538,758
  4. Step 4: Simplify right side
    250,749x = 290,260,182,564
  5. Step 5: Solve for x
    x = 290,260,182,564/250,749
  6. Step 6: Final answer
    x = 1,157,572.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.