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Finding the Third Proportional to 366,920 and 583,733

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Solution

The third proportional to 366,920 and 583,733 is: 928,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,920 : 583,733 = 583,733 : x
  2. Step 2: Convert to fraction form
    366,920/583,733 = 583,733/x
  3. Step 3: Cross multiply
    366,920x = 583,733 × 583,733
  4. Step 4: Simplify right side
    366,920x = 340,744,215,289
  5. Step 5: Solve for x
    x = 340,744,215,289/366,920
  6. Step 6: Final answer
    x = 928,660.79

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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.