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Finding the Third Proportional to 389,781 and 583,081

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Solution

The third proportional to 389,781 and 583,081 is: 872,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,781 : 583,081 = 583,081 : x
  2. Step 2: Convert to fraction form
    389,781/583,081 = 583,081/x
  3. Step 3: Cross multiply
    389,781x = 583,081 × 583,081
  4. Step 4: Simplify right side
    389,781x = 339,983,452,561
  5. Step 5: Solve for x
    x = 339,983,452,561/389,781
  6. Step 6: Final answer
    x = 872,242.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.