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Finding the Third Proportional to 201,416 and 426,760

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Solution

The third proportional to 201,416 and 426,760 is: 904,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416 : 426,760 = 426,760 : x
  2. Step 2: Convert to fraction form
    201,416/426,760 = 426,760/x
  3. Step 3: Cross multiply
    201,416x = 426,760 × 426,760
  4. Step 4: Simplify right side
    201,416x = 182,124,097,600
  5. Step 5: Solve for x
    x = 182,124,097,600/201,416
  6. Step 6: Final answer
    x = 904,218.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.