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Finding the Third Proportional to 202,356 and 440,410.50

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Solution

The third proportional to 202,356 and 440,410.50 is: 958,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356 : 440,410.50 = 440,410.50 : x
  2. Step 2: Convert to fraction form
    202,356/440,410.50 = 440,410.50/x
  3. Step 3: Cross multiply
    202,356x = 440,410.50 × 440,410.50
  4. Step 4: Simplify right side
    202,356x = 193,961,408,510.25
  5. Step 5: Solve for x
    x = 193,961,408,510.25/202,356
  6. Step 6: Final answer
    x = 958,515.73

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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.