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Finding the Third Proportional to 590,326 and 885,617

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Solution

The third proportional to 590,326 and 885,617 is: 1,328,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,326 : 885,617 = 885,617 : x
  2. Step 2: Convert to fraction form
    590,326/885,617 = 885,617/x
  3. Step 3: Cross multiply
    590,326x = 885,617 × 885,617
  4. Step 4: Simplify right side
    590,326x = 784,317,470,689
  5. Step 5: Solve for x
    x = 784,317,470,689/590,326
  6. Step 6: Final answer
    x = 1,328,617.53

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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.