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Finding the Third Proportional to 237,096 and 559,674

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Solution

The third proportional to 237,096 and 559,674 is: 1,321,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,096 : 559,674 = 559,674 : x
  2. Step 2: Convert to fraction form
    237,096/559,674 = 559,674/x
  3. Step 3: Cross multiply
    237,096x = 559,674 × 559,674
  4. Step 4: Simplify right side
    237,096x = 313,234,986,276
  5. Step 5: Solve for x
    x = 313,234,986,276/237,096
  6. Step 6: Final answer
    x = 1,321,131.47

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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.