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Finding the Third Proportional to 187,596 and 410,769

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Solution

The third proportional to 187,596 and 410,769 is: 899,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,596 : 410,769 = 410,769 : x
  2. Step 2: Convert to fraction form
    187,596/410,769 = 410,769/x
  3. Step 3: Cross multiply
    187,596x = 410,769 × 410,769
  4. Step 4: Simplify right side
    187,596x = 168,731,171,361
  5. Step 5: Solve for x
    x = 168,731,171,361/187,596
  6. Step 6: Final answer
    x = 899,439.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.