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Finding the Third Proportional to 250,253 and 539,873

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Solution

The third proportional to 250,253 and 539,873 is: 1,164,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,253 : 539,873 = 539,873 : x
  2. Step 2: Convert to fraction form
    250,253/539,873 = 539,873/x
  3. Step 3: Cross multiply
    250,253x = 539,873 × 539,873
  4. Step 4: Simplify right side
    250,253x = 291,462,856,129
  5. Step 5: Solve for x
    x = 291,462,856,129/250,253
  6. Step 6: Final answer
    x = 1,164,672.78

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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.