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Finding the Third Proportional to 221,084 and 477,392

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Solution

The third proportional to 221,084 and 477,392 is: 1,030,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,084 : 477,392 = 477,392 : x
  2. Step 2: Convert to fraction form
    221,084/477,392 = 477,392/x
  3. Step 3: Cross multiply
    221,084x = 477,392 × 477,392
  4. Step 4: Simplify right side
    221,084x = 227,903,121,664
  5. Step 5: Solve for x
    x = 227,903,121,664/221,084
  6. Step 6: Final answer
    x = 1,030,844.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.