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Finding the Third Proportional to 379,597.50 and 582,080.06

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Solution

The third proportional to 379,597.50 and 582,080.06 is: 892,569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,597.50 : 582,080.06 = 582,080.06 : x
  2. Step 2: Convert to fraction form
    379,597.50/582,080.06 = 582,080.06/x
  3. Step 3: Cross multiply
    379,597.50x = 582,080.06 × 582,080.06
  4. Step 4: Simplify right side
    379,597.50x = 338,817,199,160.00
  5. Step 5: Solve for x
    x = 338,817,199,160.00/379,597.50
  6. Step 6: Final answer
    x = 892,569.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.