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Finding the Third Proportional to 259,527 and 557,850

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Solution

The third proportional to 259,527 and 557,850 is: 1,199,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,527 : 557,850 = 557,850 : x
  2. Step 2: Convert to fraction form
    259,527/557,850 = 557,850/x
  3. Step 3: Cross multiply
    259,527x = 557,850 × 557,850
  4. Step 4: Simplify right side
    259,527x = 311,196,622,500
  5. Step 5: Solve for x
    x = 311,196,622,500/259,527
  6. Step 6: Final answer
    x = 1,199,091.51

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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.