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Finding the Third Proportional to 229,003 and 504,499

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Solution

The third proportional to 229,003 and 504,499 is: 1,111,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,003 : 504,499 = 504,499 : x
  2. Step 2: Convert to fraction form
    229,003/504,499 = 504,499/x
  3. Step 3: Cross multiply
    229,003x = 504,499 × 504,499
  4. Step 4: Simplify right side
    229,003x = 254,519,241,001
  5. Step 5: Solve for x
    x = 254,519,241,001/229,003
  6. Step 6: Final answer
    x = 1,111,423.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.