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Finding the Third Proportional to 229,006 and 504,506

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Solution

The third proportional to 229,006 and 504,506 is: 1,111,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,006 : 504,506 = 504,506 : x
  2. Step 2: Convert to fraction form
    229,006/504,506 = 504,506/x
  3. Step 3: Cross multiply
    229,006x = 504,506 × 504,506
  4. Step 4: Simplify right side
    229,006x = 254,526,304,036
  5. Step 5: Solve for x
    x = 254,526,304,036/229,006
  6. Step 6: Final answer
    x = 1,111,439.46

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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.