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Finding the Third Proportional to 386,392.50 and 568,415.25

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Solution

The third proportional to 386,392.50 and 568,415.25 is: 836,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,392.50 : 568,415.25 = 568,415.25 : x
  2. Step 2: Convert to fraction form
    386,392.50/568,415.25 = 568,415.25/x
  3. Step 3: Cross multiply
    386,392.50x = 568,415.25 × 568,415.25
  4. Step 4: Simplify right side
    386,392.50x = 323,095,896,432.56
  5. Step 5: Solve for x
    x = 323,095,896,432.56/386,392.50
  6. Step 6: Final answer
    x = 836,185.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.