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Finding the Third Proportional to 250,261 and 539,890

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Solution

The third proportional to 250,261 and 539,890 is: 1,164,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,261 : 539,890 = 539,890 : x
  2. Step 2: Convert to fraction form
    250,261/539,890 = 539,890/x
  3. Step 3: Cross multiply
    250,261x = 539,890 × 539,890
  4. Step 4: Simplify right side
    250,261x = 291,481,212,100
  5. Step 5: Solve for x
    x = 291,481,212,100/250,261
  6. Step 6: Final answer
    x = 1,164,708.89

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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.