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Finding the Third Proportional to 247,054.50 and 539,286

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Solution

The third proportional to 247,054.50 and 539,286 is: 1,177,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,054.50 : 539,286 = 539,286 : x
  2. Step 2: Convert to fraction form
    247,054.50/539,286 = 539,286/x
  3. Step 3: Cross multiply
    247,054.50x = 539,286 × 539,286
  4. Step 4: Simplify right side
    247,054.50x = 290,829,389,796
  5. Step 5: Solve for x
    x = 290,829,389,796/247,054.50
  6. Step 6: Final answer
    x = 1,177,187.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.