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Finding the Third Proportional to 386,336.25 and 590,989.50

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Solution

The third proportional to 386,336.25 and 590,989.50 is: 904,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,336.25 : 590,989.50 = 590,989.50 : x
  2. Step 2: Convert to fraction form
    386,336.25/590,989.50 = 590,989.50/x
  3. Step 3: Cross multiply
    386,336.25x = 590,989.50 × 590,989.50
  4. Step 4: Simplify right side
    386,336.25x = 349,268,589,110.25
  5. Step 5: Solve for x
    x = 349,268,589,110.25/386,336.25
  6. Step 6: Final answer
    x = 904,053.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.