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Finding the Third Proportional to 594,960 and 867,519

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Solution

The third proportional to 594,960 and 867,519 is: 1,264,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,960 : 867,519 = 867,519 : x
  2. Step 2: Convert to fraction form
    594,960/867,519 = 867,519/x
  3. Step 3: Cross multiply
    594,960x = 867,519 × 867,519
  4. Step 4: Simplify right side
    594,960x = 752,589,215,361
  5. Step 5: Solve for x
    x = 752,589,215,361/594,960
  6. Step 6: Final answer
    x = 1,264,940.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.