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Finding the Third Proportional to 381,552.75 and 590,531.25

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Solution

The third proportional to 381,552.75 and 590,531.25 is: 913,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,552.75 : 590,531.25 = 590,531.25 : x
  2. Step 2: Convert to fraction form
    381,552.75/590,531.25 = 590,531.25/x
  3. Step 3: Cross multiply
    381,552.75x = 590,531.25 × 590,531.25
  4. Step 4: Simplify right side
    381,552.75x = 348,727,157,226.56
  5. Step 5: Solve for x
    x = 348,727,157,226.56/381,552.75
  6. Step 6: Final answer
    x = 913,968.40

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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.