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Finding the Third Proportional to 227,040 and 493,376

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Solution

The third proportional to 227,040 and 493,376 is: 1,072,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,040 : 493,376 = 493,376 : x
  2. Step 2: Convert to fraction form
    227,040/493,376 = 493,376/x
  3. Step 3: Cross multiply
    227,040x = 493,376 × 493,376
  4. Step 4: Simplify right side
    227,040x = 243,419,877,376
  5. Step 5: Solve for x
    x = 243,419,877,376/227,040
  6. Step 6: Final answer
    x = 1,072,145.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.