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Finding the Third Proportional to 226,350 and 477,486

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Solution

The third proportional to 226,350 and 477,486 is: 1,007,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,350 : 477,486 = 477,486 : x
  2. Step 2: Convert to fraction form
    226,350/477,486 = 477,486/x
  3. Step 3: Cross multiply
    226,350x = 477,486 × 477,486
  4. Step 4: Simplify right side
    226,350x = 227,992,880,196
  5. Step 5: Solve for x
    x = 227,992,880,196/226,350
  6. Step 6: Final answer
    x = 1,007,258.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.