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Finding the Third Proportional to 229,304.25 and 503,442

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Solution

The third proportional to 229,304.25 and 503,442 is: 1,105,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,304.25 : 503,442 = 503,442 : x
  2. Step 2: Convert to fraction form
    229,304.25/503,442 = 503,442/x
  3. Step 3: Cross multiply
    229,304.25x = 503,442 × 503,442
  4. Step 4: Simplify right side
    229,304.25x = 253,453,847,364
  5. Step 5: Solve for x
    x = 253,453,847,364/229,304.25
  6. Step 6: Final answer
    x = 1,105,316.83

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