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Finding the Third Proportional to 201,057 and 433,004

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Solution

The third proportional to 201,057 and 433,004 is: 932,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057 : 433,004 = 433,004 : x
  2. Step 2: Convert to fraction form
    201,057/433,004 = 433,004/x
  3. Step 3: Cross multiply
    201,057x = 433,004 × 433,004
  4. Step 4: Simplify right side
    201,057x = 187,492,464,016
  5. Step 5: Solve for x
    x = 187,492,464,016/201,057
  6. Step 6: Final answer
    x = 932,533.88

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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.