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Finding the Third Proportional to 279,261 and 602,801

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Solution

The third proportional to 279,261 and 602,801 is: 1,301,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,261 : 602,801 = 602,801 : x
  2. Step 2: Convert to fraction form
    279,261/602,801 = 602,801/x
  3. Step 3: Cross multiply
    279,261x = 602,801 × 602,801
  4. Step 4: Simplify right side
    279,261x = 363,369,045,601
  5. Step 5: Solve for x
    x = 363,369,045,601/279,261
  6. Step 6: Final answer
    x = 1,301,180.78

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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.