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Finding the Third Proportional to 600,783 and 929,934

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Solution

The third proportional to 600,783 and 929,934 is: 1,439,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,783 : 929,934 = 929,934 : x
  2. Step 2: Convert to fraction form
    600,783/929,934 = 929,934/x
  3. Step 3: Cross multiply
    600,783x = 929,934 × 929,934
  4. Step 4: Simplify right side
    600,783x = 864,777,244,356
  5. Step 5: Solve for x
    x = 864,777,244,356/600,783
  6. Step 6: Final answer
    x = 1,439,416.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.