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Finding the Third Proportional to 214,238 and 507,569

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Solution

The third proportional to 214,238 and 507,569 is: 1,202,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,238 : 507,569 = 507,569 : x
  2. Step 2: Convert to fraction form
    214,238/507,569 = 507,569/x
  3. Step 3: Cross multiply
    214,238x = 507,569 × 507,569
  4. Step 4: Simplify right side
    214,238x = 257,626,289,761
  5. Step 5: Solve for x
    x = 257,626,289,761/214,238
  6. Step 6: Final answer
    x = 1,202,523.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.