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Finding the Third Proportional to 237,170 and 559,846

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Solution

The third proportional to 237,170 and 559,846 is: 1,321,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,170 : 559,846 = 559,846 : x
  2. Step 2: Convert to fraction form
    237,170/559,846 = 559,846/x
  3. Step 3: Cross multiply
    237,170x = 559,846 × 559,846
  4. Step 4: Simplify right side
    237,170x = 313,427,543,716
  5. Step 5: Solve for x
    x = 313,427,543,716/237,170
  6. Step 6: Final answer
    x = 1,321,531.15

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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.