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Finding the Third Proportional to 247,887 and 535,131

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Solution

The third proportional to 247,887 and 535,131 is: 1,155,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,887 : 535,131 = 535,131 : x
  2. Step 2: Convert to fraction form
    247,887/535,131 = 535,131/x
  3. Step 3: Cross multiply
    247,887x = 535,131 × 535,131
  4. Step 4: Simplify right side
    247,887x = 286,365,187,161
  5. Step 5: Solve for x
    x = 286,365,187,161/247,887
  6. Step 6: Final answer
    x = 1,155,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.