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Finding the Third Proportional to 389,836.13 and 583,167.75

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Solution

The third proportional to 389,836.13 and 583,167.75 is: 872,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,836.13 : 583,167.75 = 583,167.75 : x
  2. Step 2: Convert to fraction form
    389,836.13/583,167.75 = 583,167.75/x
  3. Step 3: Cross multiply
    389,836.13x = 583,167.75 × 583,167.75
  4. Step 4: Simplify right side
    389,836.13x = 340,084,624,640.06
  5. Step 5: Solve for x
    x = 340,084,624,640.06/389,836.13
  6. Step 6: Final answer
    x = 872,378.42

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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.