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Finding the Third Proportional to 366,397.50 and 582,842.25

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Solution

The third proportional to 366,397.50 and 582,842.25 is: 927,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,397.50 : 582,842.25 = 582,842.25 : x
  2. Step 2: Convert to fraction form
    366,397.50/582,842.25 = 582,842.25/x
  3. Step 3: Cross multiply
    366,397.50x = 582,842.25 × 582,842.25
  4. Step 4: Simplify right side
    366,397.50x = 339,705,088,385.06
  5. Step 5: Solve for x
    x = 339,705,088,385.06/366,397.50
  6. Step 6: Final answer
    x = 927,149.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.