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Finding the Third Proportional to 201,213 and 426,413

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Solution

The third proportional to 201,213 and 426,413 is: 903,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213 : 426,413 = 426,413 : x
  2. Step 2: Convert to fraction form
    201,213/426,413 = 426,413/x
  3. Step 3: Cross multiply
    201,213x = 426,413 × 426,413
  4. Step 4: Simplify right side
    201,213x = 181,828,046,569
  5. Step 5: Solve for x
    x = 181,828,046,569/201,213
  6. Step 6: Final answer
    x = 903,659.54

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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.