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Finding the Third Proportional to 229,569 and 498,451

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Solution

The third proportional to 229,569 and 498,451 is: 1,082,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,569 : 498,451 = 498,451 : x
  2. Step 2: Convert to fraction form
    229,569/498,451 = 498,451/x
  3. Step 3: Cross multiply
    229,569x = 498,451 × 498,451
  4. Step 4: Simplify right side
    229,569x = 248,453,399,401
  5. Step 5: Solve for x
    x = 248,453,399,401/229,569
  6. Step 6: Final answer
    x = 1,082,260.23

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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.