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Finding the Third Proportional to 259,521 and 559,038

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Solution

The third proportional to 259,521 and 559,038 is: 1,204,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,521 : 559,038 = 559,038 : x
  2. Step 2: Convert to fraction form
    259,521/559,038 = 559,038/x
  3. Step 3: Cross multiply
    259,521x = 559,038 × 559,038
  4. Step 4: Simplify right side
    259,521x = 312,523,485,444
  5. Step 5: Solve for x
    x = 312,523,485,444/259,521
  6. Step 6: Final answer
    x = 1,204,231.97

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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.