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Finding the Third Proportional to 253,322 and 395,319

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Solution

The third proportional to 253,322 and 395,319 is: 616,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,322 : 395,319 = 395,319 : x
  2. Step 2: Convert to fraction form
    253,322/395,319 = 395,319/x
  3. Step 3: Cross multiply
    253,322x = 395,319 × 395,319
  4. Step 4: Simplify right side
    253,322x = 156,277,111,761
  5. Step 5: Solve for x
    x = 156,277,111,761/253,322
  6. Step 6: Final answer
    x = 616,910.93

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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.