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Finding the Third Proportional to 599,929 and 843,760

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Solution

The third proportional to 599,929 and 843,760 is: 1,186,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,929 : 843,760 = 843,760 : x
  2. Step 2: Convert to fraction form
    599,929/843,760 = 843,760/x
  3. Step 3: Cross multiply
    599,929x = 843,760 × 843,760
  4. Step 4: Simplify right side
    599,929x = 711,930,937,600
  5. Step 5: Solve for x
    x = 711,930,937,600/599,929
  6. Step 6: Final answer
    x = 1,186,691.99

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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.