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Finding the Third Proportional to 524,574.56 and 788,805.84

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Solution

The third proportional to 524,574.56 and 788,805.84 is: 1,186,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,574.56 : 788,805.84 = 788,805.84 : x
  2. Step 2: Convert to fraction form
    524,574.56/788,805.84 = 788,805.84/x
  3. Step 3: Cross multiply
    524,574.56x = 788,805.84 × 788,805.84
  4. Step 4: Simplify right side
    524,574.56x = 622,214,659,134.15
  5. Step 5: Solve for x
    x = 622,214,659,134.15/524,574.56
  6. Step 6: Final answer
    x = 1,186,131.97

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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.