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Finding the Third Proportional to 229,002.69 and 489,453.19

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Solution

The third proportional to 229,002.69 and 489,453.19 is: 1,046,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,002.69 : 489,453.19 = 489,453.19 : x
  2. Step 2: Convert to fraction form
    229,002.69/489,453.19 = 489,453.19/x
  3. Step 3: Cross multiply
    229,002.69x = 489,453.19 × 489,453.19
  4. Step 4: Simplify right side
    229,002.69x = 239,564,422,753.91
  5. Step 5: Solve for x
    x = 239,564,422,753.91/229,002.69
  6. Step 6: Final answer
    x = 1,046,120.57

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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.