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Finding the Third Proportional to 201,918.94 and 440,510.63

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Solution

The third proportional to 201,918.94 and 440,510.63 is: 961,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,918.94 : 440,510.63 = 440,510.63 : x
  2. Step 2: Convert to fraction form
    201,918.94/440,510.63 = 440,510.63/x
  3. Step 3: Cross multiply
    201,918.94x = 440,510.63 × 440,510.63
  4. Step 4: Simplify right side
    201,918.94x = 194,049,610,737.89
  5. Step 5: Solve for x
    x = 194,049,610,737.89/201,918.94
  6. Step 6: Final answer
    x = 961,027.30

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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.