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Finding the Third Proportional to 366,921 and 583,734

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Solution

The third proportional to 366,921 and 583,734 is: 928,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,921 : 583,734 = 583,734 : x
  2. Step 2: Convert to fraction form
    366,921/583,734 = 583,734/x
  3. Step 3: Cross multiply
    366,921x = 583,734 × 583,734
  4. Step 4: Simplify right side
    366,921x = 340,745,382,756
  5. Step 5: Solve for x
    x = 340,745,382,756/366,921
  6. Step 6: Final answer
    x = 928,661.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.