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Finding the Third Proportional to 201,217 and 437,378

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Solution

The third proportional to 201,217 and 437,378 is: 950,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217 : 437,378 = 437,378 : x
  2. Step 2: Convert to fraction form
    201,217/437,378 = 437,378/x
  3. Step 3: Cross multiply
    201,217x = 437,378 × 437,378
  4. Step 4: Simplify right side
    201,217x = 191,299,514,884
  5. Step 5: Solve for x
    x = 191,299,514,884/201,217
  6. Step 6: Final answer
    x = 950,712.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.