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Finding the Third Proportional to 599,908 and 843,729

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Solution

The third proportional to 599,908 and 843,729 is: 1,186,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,908 : 843,729 = 843,729 : x
  2. Step 2: Convert to fraction form
    599,908/843,729 = 843,729/x
  3. Step 3: Cross multiply
    599,908x = 843,729 × 843,729
  4. Step 4: Simplify right side
    599,908x = 711,878,625,441
  5. Step 5: Solve for x
    x = 711,878,625,441/599,908
  6. Step 6: Final answer
    x = 1,186,646.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.