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Finding the Third Proportional to 389,056.50 and 583,584.75

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Solution

The third proportional to 389,056.50 and 583,584.75 is: 875,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,056.50 : 583,584.75 = 583,584.75 : x
  2. Step 2: Convert to fraction form
    389,056.50/583,584.75 = 583,584.75/x
  3. Step 3: Cross multiply
    389,056.50x = 583,584.75 × 583,584.75
  4. Step 4: Simplify right side
    389,056.50x = 340,571,160,432.56
  5. Step 5: Solve for x
    x = 340,571,160,432.56/389,056.50
  6. Step 6: Final answer
    x = 875,377.13

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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.