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Finding the Third Proportional to 259,527 and 557,853

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Solution

The third proportional to 259,527 and 557,853 is: 1,199,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,527 : 557,853 = 557,853 : x
  2. Step 2: Convert to fraction form
    259,527/557,853 = 557,853/x
  3. Step 3: Cross multiply
    259,527x = 557,853 × 557,853
  4. Step 4: Simplify right side
    259,527x = 311,199,969,609
  5. Step 5: Solve for x
    x = 311,199,969,609/259,527
  6. Step 6: Final answer
    x = 1,199,104.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.