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Finding the Third Proportional to 232,196.63 and 478,846.69

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Solution

The third proportional to 232,196.63 and 478,846.69 is: 987,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,196.63 : 478,846.69 = 478,846.69 : x
  2. Step 2: Convert to fraction form
    232,196.63/478,846.69 = 478,846.69/x
  3. Step 3: Cross multiply
    232,196.63x = 478,846.69 × 478,846.69
  4. Step 4: Simplify right side
    232,196.63x = 229,294,150,129.72
  5. Step 5: Solve for x
    x = 229,294,150,129.72/232,196.63
  6. Step 6: Final answer
    x = 987,499.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.