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Finding the Third Proportional to 378,832.50 and 588,168

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Solution

The third proportional to 378,832.50 and 588,168 is: 913,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,832.50 : 588,168 = 588,168 : x
  2. Step 2: Convert to fraction form
    378,832.50/588,168 = 588,168/x
  3. Step 3: Cross multiply
    378,832.50x = 588,168 × 588,168
  4. Step 4: Simplify right side
    378,832.50x = 345,941,596,224
  5. Step 5: Solve for x
    x = 345,941,596,224/378,832.50
  6. Step 6: Final answer
    x = 913,178.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.