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Finding the Third Proportional to 411,920.44 and 598,979.81

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Solution

The third proportional to 411,920.44 and 598,979.81 is: 870,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,920.44 : 598,979.81 = 598,979.81 : x
  2. Step 2: Convert to fraction form
    411,920.44/598,979.81 = 598,979.81/x
  3. Step 3: Cross multiply
    411,920.44x = 598,979.81 × 598,979.81
  4. Step 4: Simplify right side
    411,920.44x = 358,776,815,782.54
  5. Step 5: Solve for x
    x = 358,776,815,782.54/411,920.44
  6. Step 6: Final answer
    x = 870,985.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.