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Finding the Third Proportional to 590,330.25 and 885,318.75

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Solution

The third proportional to 590,330.25 and 885,318.75 is: 1,327,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,330.25 : 885,318.75 = 885,318.75 : x
  2. Step 2: Convert to fraction form
    590,330.25/885,318.75 = 885,318.75/x
  3. Step 3: Cross multiply
    590,330.25x = 885,318.75 × 885,318.75
  4. Step 4: Simplify right side
    590,330.25x = 783,789,289,101.56
  5. Step 5: Solve for x
    x = 783,789,289,101.56/590,330.25
  6. Step 6: Final answer
    x = 1,327,713.24

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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.