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Finding the Third Proportional to 201,217.50 and 426,417.75

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Solution

The third proportional to 201,217.50 and 426,417.75 is: 903,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217.50 : 426,417.75 = 426,417.75 : x
  2. Step 2: Convert to fraction form
    201,217.50/426,417.75 = 426,417.75/x
  3. Step 3: Cross multiply
    201,217.50x = 426,417.75 × 426,417.75
  4. Step 4: Simplify right side
    201,217.50x = 181,832,097,515.06
  5. Step 5: Solve for x
    x = 181,832,097,515.06/201,217.50
  6. Step 6: Final answer
    x = 903,659.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.