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Finding the Third Proportional to 250,654 and 521,963

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Solution

The third proportional to 250,654 and 521,963 is: 1,086,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,654 : 521,963 = 521,963 : x
  2. Step 2: Convert to fraction form
    250,654/521,963 = 521,963/x
  3. Step 3: Cross multiply
    250,654x = 521,963 × 521,963
  4. Step 4: Simplify right side
    250,654x = 272,445,373,369
  5. Step 5: Solve for x
    x = 272,445,373,369/250,654
  6. Step 6: Final answer
    x = 1,086,938.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.