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Finding the Third Proportional to 364,829.06 and 582,805.13

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Solution

The third proportional to 364,829.06 and 582,805.13 is: 931,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,829.06 : 582,805.13 = 582,805.13 : x
  2. Step 2: Convert to fraction form
    364,829.06/582,805.13 = 582,805.13/x
  3. Step 3: Cross multiply
    364,829.06x = 582,805.13 × 582,805.13
  4. Step 4: Simplify right side
    364,829.06x = 339,661,813,726.27
  5. Step 5: Solve for x
    x = 339,661,813,726.27/364,829.06
  6. Step 6: Final answer
    x = 931,016.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.