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Finding the Third Proportional to 201,662 and 438,883

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Solution

The third proportional to 201,662 and 438,883 is: 955,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,662 : 438,883 = 438,883 : x
  2. Step 2: Convert to fraction form
    201,662/438,883 = 438,883/x
  3. Step 3: Cross multiply
    201,662x = 438,883 × 438,883
  4. Step 4: Simplify right side
    201,662x = 192,618,287,689
  5. Step 5: Solve for x
    x = 192,618,287,689/201,662
  6. Step 6: Final answer
    x = 955,154.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.