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Finding the Third Proportional to 201,939 and 443,046

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Solution

The third proportional to 201,939 and 443,046 is: 972,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,939 : 443,046 = 443,046 : x
  2. Step 2: Convert to fraction form
    201,939/443,046 = 443,046/x
  3. Step 3: Cross multiply
    201,939x = 443,046 × 443,046
  4. Step 4: Simplify right side
    201,939x = 196,289,758,116
  5. Step 5: Solve for x
    x = 196,289,758,116/201,939
  6. Step 6: Final answer
    x = 972,025.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.