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Finding the Third Proportional to 250,495 and 590,981

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Solution

The third proportional to 250,495 and 590,981 is: 1,394,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,495 : 590,981 = 590,981 : x
  2. Step 2: Convert to fraction form
    250,495/590,981 = 590,981/x
  3. Step 3: Cross multiply
    250,495x = 590,981 × 590,981
  4. Step 4: Simplify right side
    250,495x = 349,258,542,361
  5. Step 5: Solve for x
    x = 349,258,542,361/250,495
  6. Step 6: Final answer
    x = 1,394,273.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.