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Finding the Third Proportional to 591,163 and 885,526

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Solution

The third proportional to 591,163 and 885,526 is: 1,326,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,163 : 885,526 = 885,526 : x
  2. Step 2: Convert to fraction form
    591,163/885,526 = 885,526/x
  3. Step 3: Cross multiply
    591,163x = 885,526 × 885,526
  4. Step 4: Simplify right side
    591,163x = 784,156,296,676
  5. Step 5: Solve for x
    x = 784,156,296,676/591,163
  6. Step 6: Final answer
    x = 1,326,463.76

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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.