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Finding the Third Proportional to 217,537 and 467,208

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Solution

The third proportional to 217,537 and 467,208 is: 1,003,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,537 : 467,208 = 467,208 : x
  2. Step 2: Convert to fraction form
    217,537/467,208 = 467,208/x
  3. Step 3: Cross multiply
    217,537x = 467,208 × 467,208
  4. Step 4: Simplify right side
    217,537x = 218,283,315,264
  5. Step 5: Solve for x
    x = 218,283,315,264/217,537
  6. Step 6: Final answer
    x = 1,003,430.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.