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Finding the Third Proportional to 315,222.47 and 684,026.44

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Solution

The third proportional to 315,222.47 and 684,026.44 is: 1,484,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,222.47 : 684,026.44 = 684,026.44 : x
  2. Step 2: Convert to fraction form
    315,222.47/684,026.44 = 684,026.44/x
  3. Step 3: Cross multiply
    315,222.47x = 684,026.44 × 684,026.44
  4. Step 4: Simplify right side
    315,222.47x = 467,892,167,198.94
  5. Step 5: Solve for x
    x = 467,892,167,198.94/315,222.47
  6. Step 6: Final answer
    x = 1,484,323.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.