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Finding the Third Proportional to 431,044.50 and 942,345

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Solution

The third proportional to 431,044.50 and 942,345 is: 2,060,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,044.50 : 942,345 = 942,345 : x
  2. Step 2: Convert to fraction form
    431,044.50/942,345 = 942,345/x
  3. Step 3: Cross multiply
    431,044.50x = 942,345 × 942,345
  4. Step 4: Simplify right side
    431,044.50x = 888,014,099,025
  5. Step 5: Solve for x
    x = 888,014,099,025/431,044.50
  6. Step 6: Final answer
    x = 2,060,144.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.