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Finding the Third Proportional to 259,084 and 557,534

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Solution

The third proportional to 259,084 and 557,534 is: 1,199,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,084 : 557,534 = 557,534 : x
  2. Step 2: Convert to fraction form
    259,084/557,534 = 557,534/x
  3. Step 3: Cross multiply
    259,084x = 557,534 × 557,534
  4. Step 4: Simplify right side
    259,084x = 310,844,161,156
  5. Step 5: Solve for x
    x = 310,844,161,156/259,084
  6. Step 6: Final answer
    x = 1,199,781.39

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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.