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Finding the Third Proportional to 593,299 and 840,067

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Solution

The third proportional to 593,299 and 840,067 is: 1,189,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,299 : 840,067 = 840,067 : x
  2. Step 2: Convert to fraction form
    593,299/840,067 = 840,067/x
  3. Step 3: Cross multiply
    593,299x = 840,067 × 840,067
  4. Step 4: Simplify right side
    593,299x = 705,712,564,489
  5. Step 5: Solve for x
    x = 705,712,564,489/593,299
  6. Step 6: Final answer
    x = 1,189,472.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.