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Finding the Third Proportional to 201,724 and 438,933

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Solution

The third proportional to 201,724 and 438,933 is: 955,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,724 : 438,933 = 438,933 : x
  2. Step 2: Convert to fraction form
    201,724/438,933 = 438,933/x
  3. Step 3: Cross multiply
    201,724x = 438,933 × 438,933
  4. Step 4: Simplify right side
    201,724x = 192,662,178,489
  5. Step 5: Solve for x
    x = 192,662,178,489/201,724
  6. Step 6: Final answer
    x = 955,078.12

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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.