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Finding the Third Proportional to 583,684 and 838,662

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Solution

The third proportional to 583,684 and 838,662 is: 1,205,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,684 : 838,662 = 838,662 : x
  2. Step 2: Convert to fraction form
    583,684/838,662 = 838,662/x
  3. Step 3: Cross multiply
    583,684x = 838,662 × 838,662
  4. Step 4: Simplify right side
    583,684x = 703,353,950,244
  5. Step 5: Solve for x
    x = 703,353,950,244/583,684
  6. Step 6: Final answer
    x = 1,205,025.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.