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Finding the Third Proportional to 229,344 and 490,077

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Solution

The third proportional to 229,344 and 490,077 is: 1,047,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,344 : 490,077 = 490,077 : x
  2. Step 2: Convert to fraction form
    229,344/490,077 = 490,077/x
  3. Step 3: Cross multiply
    229,344x = 490,077 × 490,077
  4. Step 4: Simplify right side
    229,344x = 240,175,465,929
  5. Step 5: Solve for x
    x = 240,175,465,929/229,344
  6. Step 6: Final answer
    x = 1,047,228.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.