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Finding the Third Proportional to 304,291.69 and 447,823.69

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Solution

The third proportional to 304,291.69 and 447,823.69 is: 659,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,291.69 : 447,823.69 = 447,823.69 : x
  2. Step 2: Convert to fraction form
    304,291.69/447,823.69 = 447,823.69/x
  3. Step 3: Cross multiply
    304,291.69x = 447,823.69 × 447,823.69
  4. Step 4: Simplify right side
    304,291.69x = 200,546,055,086.10
  5. Step 5: Solve for x
    x = 200,546,055,086.10/304,291.69
  6. Step 6: Final answer
    x = 659,058.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.