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Finding the Third Proportional to 263,108 and 559,048

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Solution

The third proportional to 263,108 and 559,048 is: 1,187,856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,108 : 559,048 = 559,048 : x
  2. Step 2: Convert to fraction form
    263,108/559,048 = 559,048/x
  3. Step 3: Cross multiply
    263,108x = 559,048 × 559,048
  4. Step 4: Simplify right side
    263,108x = 312,534,666,304
  5. Step 5: Solve for x
    x = 312,534,666,304/263,108
  6. Step 6: Final answer
    x = 1,187,856.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.