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Finding the Third Proportional to 582,589.13 and 894,186

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Solution

The third proportional to 582,589.13 and 894,186 is: 1,372,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,589.13 : 894,186 = 894,186 : x
  2. Step 2: Convert to fraction form
    582,589.13/894,186 = 894,186/x
  3. Step 3: Cross multiply
    582,589.13x = 894,186 × 894,186
  4. Step 4: Simplify right side
    582,589.13x = 799,568,602,596
  5. Step 5: Solve for x
    x = 799,568,602,596/582,589.13
  6. Step 6: Final answer
    x = 1,372,439.97

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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.