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Finding the Third Proportional to 524,591.44 and 941,230.13

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Solution

The third proportional to 524,591.44 and 941,230.13 is: 1,688,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,591.44 : 941,230.13 = 941,230.13 : x
  2. Step 2: Convert to fraction form
    524,591.44/941,230.13 = 941,230.13/x
  3. Step 3: Cross multiply
    524,591.44x = 941,230.13 × 941,230.13
  4. Step 4: Simplify right side
    524,591.44x = 885,914,148,207.52
  5. Step 5: Solve for x
    x = 885,914,148,207.52/524,591.44
  6. Step 6: Final answer
    x = 1,688,769.75

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.