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Finding the Third Proportional to 221,004 and 477,223

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Solution

The third proportional to 221,004 and 477,223 is: 1,030,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,004 : 477,223 = 477,223 : x
  2. Step 2: Convert to fraction form
    221,004/477,223 = 477,223/x
  3. Step 3: Cross multiply
    221,004x = 477,223 × 477,223
  4. Step 4: Simplify right side
    221,004x = 227,741,791,729
  5. Step 5: Solve for x
    x = 227,741,791,729/221,004
  6. Step 6: Final answer
    x = 1,030,487.19

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Why These Related Problems?

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