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Finding the Third Proportional to 387,306 and 795,996

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Solution

The third proportional to 387,306 and 795,996 is: 1,635,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,306 : 795,996 = 795,996 : x
  2. Step 2: Convert to fraction form
    387,306/795,996 = 795,996/x
  3. Step 3: Cross multiply
    387,306x = 795,996 × 795,996
  4. Step 4: Simplify right side
    387,306x = 633,609,632,016
  5. Step 5: Solve for x
    x = 633,609,632,016/387,306
  6. Step 6: Final answer
    x = 1,635,940.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.