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Finding the Third Proportional to 237,006 and 559,467

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Solution

The third proportional to 237,006 and 559,467 is: 1,320,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,006 : 559,467 = 559,467 : x
  2. Step 2: Convert to fraction form
    237,006/559,467 = 559,467/x
  3. Step 3: Cross multiply
    237,006x = 559,467 × 559,467
  4. Step 4: Simplify right side
    237,006x = 313,003,324,089
  5. Step 5: Solve for x
    x = 313,003,324,089/237,006
  6. Step 6: Final answer
    x = 1,320,655.70

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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.