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Finding the Third Proportional to 376,234.50 and 582,802.50

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Solution

The third proportional to 376,234.50 and 582,802.50 is: 902,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,234.50 : 582,802.50 = 582,802.50 : x
  2. Step 2: Convert to fraction form
    376,234.50/582,802.50 = 582,802.50/x
  3. Step 3: Cross multiply
    376,234.50x = 582,802.50 × 582,802.50
  4. Step 4: Simplify right side
    376,234.50x = 339,658,754,006.25
  5. Step 5: Solve for x
    x = 339,658,754,006.25/376,234.50
  6. Step 6: Final answer
    x = 902,784.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.