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Finding the Third Proportional to 229,260.66 and 539,440.73

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Solution

The third proportional to 229,260.66 and 539,440.73 is: 1,269,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,260.66 : 539,440.73 = 539,440.73 : x
  2. Step 2: Convert to fraction form
    229,260.66/539,440.73 = 539,440.73/x
  3. Step 3: Cross multiply
    229,260.66x = 539,440.73 × 539,440.73
  4. Step 4: Simplify right side
    229,260.66x = 290,996,305,903.04
  5. Step 5: Solve for x
    x = 290,996,305,903.04/229,260.66
  6. Step 6: Final answer
    x = 1,269,281.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.