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Finding the Third Proportional to 227,525 and 496,522

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Solution

The third proportional to 227,525 and 496,522 is: 1,083,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,525 : 496,522 = 496,522 : x
  2. Step 2: Convert to fraction form
    227,525/496,522 = 496,522/x
  3. Step 3: Cross multiply
    227,525x = 496,522 × 496,522
  4. Step 4: Simplify right side
    227,525x = 246,534,096,484
  5. Step 5: Solve for x
    x = 246,534,096,484/227,525
  6. Step 6: Final answer
    x = 1,083,547.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.