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Finding the Third Proportional to 187,587 and 410,751

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Solution

The third proportional to 187,587 and 410,751 is: 899,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,587 : 410,751 = 410,751 : x
  2. Step 2: Convert to fraction form
    187,587/410,751 = 410,751/x
  3. Step 3: Cross multiply
    187,587x = 410,751 × 410,751
  4. Step 4: Simplify right side
    187,587x = 168,716,384,001
  5. Step 5: Solve for x
    x = 168,716,384,001/187,587
  6. Step 6: Final answer
    x = 899,403.39

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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.