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Finding the Third Proportional to 257,986 and 390,874

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Solution

The third proportional to 257,986 and 390,874 is: 592,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,986 : 390,874 = 390,874 : x
  2. Step 2: Convert to fraction form
    257,986/390,874 = 390,874/x
  3. Step 3: Cross multiply
    257,986x = 390,874 × 390,874
  4. Step 4: Simplify right side
    257,986x = 152,782,483,876
  5. Step 5: Solve for x
    x = 152,782,483,876/257,986
  6. Step 6: Final answer
    x = 592,212.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.