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Finding the Third Proportional to 229,605 and 503,517

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Solution

The third proportional to 229,605 and 503,517 is: 1,104,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,605 : 503,517 = 503,517 : x
  2. Step 2: Convert to fraction form
    229,605/503,517 = 503,517/x
  3. Step 3: Cross multiply
    229,605x = 503,517 × 503,517
  4. Step 4: Simplify right side
    229,605x = 253,529,369,289
  5. Step 5: Solve for x
    x = 253,529,369,289/229,605
  6. Step 6: Final answer
    x = 1,104,197.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.