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Finding the Third Proportional to 226,088 and 477,376

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Solution

The third proportional to 226,088 and 477,376 is: 1,007,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,088 : 477,376 = 477,376 : x
  2. Step 2: Convert to fraction form
    226,088/477,376 = 477,376/x
  3. Step 3: Cross multiply
    226,088x = 477,376 × 477,376
  4. Step 4: Simplify right side
    226,088x = 227,887,845,376
  5. Step 5: Solve for x
    x = 227,887,845,376/226,088
  6. Step 6: Final answer
    x = 1,007,960.82

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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.