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Finding the Third Proportional to 224,700 and 477,102

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Solution

The third proportional to 224,700 and 477,102 is: 1,013,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,700 : 477,102 = 477,102 : x
  2. Step 2: Convert to fraction form
    224,700/477,102 = 477,102/x
  3. Step 3: Cross multiply
    224,700x = 477,102 × 477,102
  4. Step 4: Simplify right side
    224,700x = 227,626,318,404
  5. Step 5: Solve for x
    x = 227,626,318,404/224,700
  6. Step 6: Final answer
    x = 1,013,023.22

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Why These Related Problems?

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