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Finding the Third Proportional to 237,108 and 559,704

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Solution

The third proportional to 237,108 and 559,704 is: 1,321,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,108 : 559,704 = 559,704 : x
  2. Step 2: Convert to fraction form
    237,108/559,704 = 559,704/x
  3. Step 3: Cross multiply
    237,108x = 559,704 × 559,704
  4. Step 4: Simplify right side
    237,108x = 313,268,567,616
  5. Step 5: Solve for x
    x = 313,268,567,616/237,108
  6. Step 6: Final answer
    x = 1,321,206.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.