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Finding the Third Proportional to 407,908.83 and 864,440.86

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Solution

The third proportional to 407,908.83 and 864,440.86 is: 1,831,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,908.83 : 864,440.86 = 864,440.86 : x
  2. Step 2: Convert to fraction form
    407,908.83/864,440.86 = 864,440.86/x
  3. Step 3: Cross multiply
    407,908.83x = 864,440.86 × 864,440.86
  4. Step 4: Simplify right side
    407,908.83x = 747,257,999,356.99
  5. Step 5: Solve for x
    x = 747,257,999,356.99/407,908.83
  6. Step 6: Final answer
    x = 1,831,924.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.