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Finding the Third Proportional to 387,764.16 and 582,056.30

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Solution

The third proportional to 387,764.16 and 582,056.30 is: 873,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,764.16 : 582,056.30 = 582,056.30 : x
  2. Step 2: Convert to fraction form
    387,764.16/582,056.30 = 582,056.30/x
  3. Step 3: Cross multiply
    387,764.16x = 582,056.30 × 582,056.30
  4. Step 4: Simplify right side
    387,764.16x = 338,789,532,731.84
  5. Step 5: Solve for x
    x = 338,789,532,731.84/387,764.16
  6. Step 6: Final answer
    x = 873,699.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.