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Finding the Third Proportional to 248,947.88 and 540,046.13

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Solution

The third proportional to 248,947.88 and 540,046.13 is: 1,171,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,947.88 : 540,046.13 = 540,046.13 : x
  2. Step 2: Convert to fraction form
    248,947.88/540,046.13 = 540,046.13/x
  3. Step 3: Cross multiply
    248,947.88x = 540,046.13 × 540,046.13
  4. Step 4: Simplify right side
    248,947.88x = 291,649,817,127.52
  5. Step 5: Solve for x
    x = 291,649,817,127.52/248,947.88
  6. Step 6: Final answer
    x = 1,171,529.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.