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Finding the Third Proportional to 403,093.69 and 582,702.19

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Solution

The third proportional to 403,093.69 and 582,702.19 is: 842,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,093.69 : 582,702.19 = 582,702.19 : x
  2. Step 2: Convert to fraction form
    403,093.69/582,702.19 = 582,702.19/x
  3. Step 3: Cross multiply
    403,093.69x = 582,702.19 × 582,702.19
  4. Step 4: Simplify right side
    403,093.69x = 339,541,839,317.29
  5. Step 5: Solve for x
    x = 339,541,839,317.29/403,093.69
  6. Step 6: Final answer
    x = 842,339.76

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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.