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Finding the Third Proportional to 250,606 and 540,336

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Solution

The third proportional to 250,606 and 540,336 is: 1,165,027.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,606 : 540,336 = 540,336 : x
  2. Step 2: Convert to fraction form
    250,606/540,336 = 540,336/x
  3. Step 3: Cross multiply
    250,606x = 540,336 × 540,336
  4. Step 4: Simplify right side
    250,606x = 291,962,992,896
  5. Step 5: Solve for x
    x = 291,962,992,896/250,606
  6. Step 6: Final answer
    x = 1,165,027.94

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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.