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Finding the Third Proportional to 201,913.25 and 440,501.75

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Solution

The third proportional to 201,913.25 and 440,501.75 is: 961,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913.25 : 440,501.75 = 440,501.75 : x
  2. Step 2: Convert to fraction form
    201,913.25/440,501.75 = 440,501.75/x
  3. Step 3: Cross multiply
    201,913.25x = 440,501.75 × 440,501.75
  4. Step 4: Simplify right side
    201,913.25x = 194,041,791,753.06
  5. Step 5: Solve for x
    x = 194,041,791,753.06/201,913.25
  6. Step 6: Final answer
    x = 961,015.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.