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Finding the Third Proportional to 538,739.23 and 806,624.87

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Solution

The third proportional to 538,739.23 and 806,624.87 is: 1,207,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,739.23 : 806,624.87 = 806,624.87 : x
  2. Step 2: Convert to fraction form
    538,739.23/806,624.87 = 806,624.87/x
  3. Step 3: Cross multiply
    538,739.23x = 806,624.87 × 806,624.87
  4. Step 4: Simplify right side
    538,739.23x = 650,643,686,581.16
  5. Step 5: Solve for x
    x = 650,643,686,581.16/538,739.23
  6. Step 6: Final answer
    x = 1,207,715.44

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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.