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Finding the Third Proportional to 201,828 and 429,564

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Solution

The third proportional to 201,828 and 429,564 is: 914,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,828 : 429,564 = 429,564 : x
  2. Step 2: Convert to fraction form
    201,828/429,564 = 429,564/x
  3. Step 3: Cross multiply
    201,828x = 429,564 × 429,564
  4. Step 4: Simplify right side
    201,828x = 184,525,230,096
  5. Step 5: Solve for x
    x = 184,525,230,096/201,828
  6. Step 6: Final answer
    x = 914,269.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.