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Finding the Third Proportional to 395,536.50 and 852,670.13

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Solution

The third proportional to 395,536.50 and 852,670.13 is: 1,838,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,536.50 : 852,670.13 = 852,670.13 : x
  2. Step 2: Convert to fraction form
    395,536.50/852,670.13 = 852,670.13/x
  3. Step 3: Cross multiply
    395,536.50x = 852,670.13 × 852,670.13
  4. Step 4: Simplify right side
    395,536.50x = 727,046,342,067.52
  5. Step 5: Solve for x
    x = 727,046,342,067.52/395,536.50
  6. Step 6: Final answer
    x = 1,838,127.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.