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Finding the Third Proportional to 250,383 and 540,086

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Solution

The third proportional to 250,383 and 540,086 is: 1,164,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,383 : 540,086 = 540,086 : x
  2. Step 2: Convert to fraction form
    250,383/540,086 = 540,086/x
  3. Step 3: Cross multiply
    250,383x = 540,086 × 540,086
  4. Step 4: Simplify right side
    250,383x = 291,692,887,396
  5. Step 5: Solve for x
    x = 291,692,887,396/250,383
  6. Step 6: Final answer
    x = 1,164,986.79

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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.