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Finding the Third Proportional to 253,308 and 395,298

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Solution

The third proportional to 253,308 and 395,298 is: 616,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,308 : 395,298 = 395,298 : x
  2. Step 2: Convert to fraction form
    253,308/395,298 = 395,298/x
  3. Step 3: Cross multiply
    253,308x = 395,298 × 395,298
  4. Step 4: Simplify right side
    253,308x = 156,260,508,804
  5. Step 5: Solve for x
    x = 156,260,508,804/253,308
  6. Step 6: Final answer
    x = 616,879.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.