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Finding the Third Proportional to 237,001 and 507,218

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Solution

The third proportional to 237,001 and 507,218 is: 1,085,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,001 : 507,218 = 507,218 : x
  2. Step 2: Convert to fraction form
    237,001/507,218 = 507,218/x
  3. Step 3: Cross multiply
    237,001x = 507,218 × 507,218
  4. Step 4: Simplify right side
    237,001x = 257,270,099,524
  5. Step 5: Solve for x
    x = 257,270,099,524/237,001
  6. Step 6: Final answer
    x = 1,085,523.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.