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Finding the Third Proportional to 201,927 and 440,526

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Solution

The third proportional to 201,927 and 440,526 is: 961,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,927 : 440,526 = 440,526 : x
  2. Step 2: Convert to fraction form
    201,927/440,526 = 440,526/x
  3. Step 3: Cross multiply
    201,927x = 440,526 × 440,526
  4. Step 4: Simplify right side
    201,927x = 194,063,156,676
  5. Step 5: Solve for x
    x = 194,063,156,676/201,927
  6. Step 6: Final answer
    x = 961,056.01

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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.