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Finding the Third Proportional to 265,959 and 398,001

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Solution

The third proportional to 265,959 and 398,001 is: 595,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,959 : 398,001 = 398,001 : x
  2. Step 2: Convert to fraction form
    265,959/398,001 = 398,001/x
  3. Step 3: Cross multiply
    265,959x = 398,001 × 398,001
  4. Step 4: Simplify right side
    265,959x = 158,404,796,001
  5. Step 5: Solve for x
    x = 158,404,796,001/265,959
  6. Step 6: Final answer
    x = 595,598.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.