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Finding the Third Proportional to 395,542 and 852,681

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Solution

The third proportional to 395,542 and 852,681 is: 1,838,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,542 : 852,681 = 852,681 : x
  2. Step 2: Convert to fraction form
    395,542/852,681 = 852,681/x
  3. Step 3: Cross multiply
    395,542x = 852,681 × 852,681
  4. Step 4: Simplify right side
    395,542x = 727,064,887,761
  5. Step 5: Solve for x
    x = 727,064,887,761/395,542
  6. Step 6: Final answer
    x = 1,838,148.38

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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.