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Finding the Third Proportional to 590,463.42 and 885,541.36

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Solution

The third proportional to 590,463.42 and 885,541.36 is: 1,328,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,463.42 : 885,541.36 = 885,541.36 : x
  2. Step 2: Convert to fraction form
    590,463.42/885,541.36 = 885,541.36/x
  3. Step 3: Cross multiply
    590,463.42x = 885,541.36 × 885,541.36
  4. Step 4: Simplify right side
    590,463.42x = 784,183,499,163.72
  5. Step 5: Solve for x
    x = 784,183,499,163.72/590,463.42
  6. Step 6: Final answer
    x = 1,328,081.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.