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Finding the Third Proportional to 237,167 and 559,841

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Solution

The third proportional to 237,167 and 559,841 is: 1,321,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,167 : 559,841 = 559,841 : x
  2. Step 2: Convert to fraction form
    237,167/559,841 = 559,841/x
  3. Step 3: Cross multiply
    237,167x = 559,841 × 559,841
  4. Step 4: Simplify right side
    237,167x = 313,421,945,281
  5. Step 5: Solve for x
    x = 313,421,945,281/237,167
  6. Step 6: Final answer
    x = 1,321,524.26

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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.