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Finding the Third Proportional to 201,432 and 433,644

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Solution

The third proportional to 201,432 and 433,644 is: 933,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,432 : 433,644 = 433,644 : x
  2. Step 2: Convert to fraction form
    201,432/433,644 = 433,644/x
  3. Step 3: Cross multiply
    201,432x = 433,644 × 433,644
  4. Step 4: Simplify right side
    201,432x = 188,047,118,736
  5. Step 5: Solve for x
    x = 188,047,118,736/201,432
  6. Step 6: Final answer
    x = 933,551.37

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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.