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Finding the Third Proportional to 237,171 and 559,851

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Solution

The third proportional to 237,171 and 559,851 is: 1,321,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,171 : 559,851 = 559,851 : x
  2. Step 2: Convert to fraction form
    237,171/559,851 = 559,851/x
  3. Step 3: Cross multiply
    237,171x = 559,851 × 559,851
  4. Step 4: Simplify right side
    237,171x = 313,433,142,201
  5. Step 5: Solve for x
    x = 313,433,142,201/237,171
  6. Step 6: Final answer
    x = 1,321,549.19

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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.