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Finding the Third Proportional to 588,514 and 832,977

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Solution

The third proportional to 588,514 and 832,977 is: 1,178,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,514 : 832,977 = 832,977 : x
  2. Step 2: Convert to fraction form
    588,514/832,977 = 832,977/x
  3. Step 3: Cross multiply
    588,514x = 832,977 × 832,977
  4. Step 4: Simplify right side
    588,514x = 693,850,682,529
  5. Step 5: Solve for x
    x = 693,850,682,529/588,514
  6. Step 6: Final answer
    x = 1,178,987.56

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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.