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Finding the Third Proportional to 259,587 and 557,955

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Solution

The third proportional to 259,587 and 557,955 is: 1,199,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,587 : 557,955 = 557,955 : x
  2. Step 2: Convert to fraction form
    259,587/557,955 = 557,955/x
  3. Step 3: Cross multiply
    259,587x = 557,955 × 557,955
  4. Step 4: Simplify right side
    259,587x = 311,313,782,025
  5. Step 5: Solve for x
    x = 311,313,782,025/259,587
  6. Step 6: Final answer
    x = 1,199,265.69

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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.