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Finding the Third Proportional to 414,388.13 and 584,905.50

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Solution

The third proportional to 414,388.13 and 584,905.50 is: 825,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,388.13 : 584,905.50 = 584,905.50 : x
  2. Step 2: Convert to fraction form
    414,388.13/584,905.50 = 584,905.50/x
  3. Step 3: Cross multiply
    414,388.13x = 584,905.50 × 584,905.50
  4. Step 4: Simplify right side
    414,388.13x = 342,114,443,930.25
  5. Step 5: Solve for x
    x = 342,114,443,930.25/414,388.13
  6. Step 6: Final answer
    x = 825,589.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.