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Finding the Third Proportional to 201,671.02 and 440,019.84

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Solution

The third proportional to 201,671.02 and 440,019.84 is: 960,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,671.02 : 440,019.84 = 440,019.84 : x
  2. Step 2: Convert to fraction form
    201,671.02/440,019.84 = 440,019.84/x
  3. Step 3: Cross multiply
    201,671.02x = 440,019.84 × 440,019.84
  4. Step 4: Simplify right side
    201,671.02x = 193,617,462,893.77
  5. Step 5: Solve for x
    x = 193,617,462,893.77/201,671.02
  6. Step 6: Final answer
    x = 960,065.89

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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.