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Finding the Third Proportional to 201,415 and 443,323

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Solution

The third proportional to 201,415 and 443,323 is: 975,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,415 : 443,323 = 443,323 : x
  2. Step 2: Convert to fraction form
    201,415/443,323 = 443,323/x
  3. Step 3: Cross multiply
    201,415x = 443,323 × 443,323
  4. Step 4: Simplify right side
    201,415x = 196,535,282,329
  5. Step 5: Solve for x
    x = 196,535,282,329/201,415
  6. Step 6: Final answer
    x = 975,772.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.