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Finding the Third Proportional to 395,783.72 and 771,881.91

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Solution

The third proportional to 395,783.72 and 771,881.91 is: 1,505,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,783.72 : 771,881.91 = 771,881.91 : x
  2. Step 2: Convert to fraction form
    395,783.72/771,881.91 = 771,881.91/x
  3. Step 3: Cross multiply
    395,783.72x = 771,881.91 × 771,881.91
  4. Step 4: Simplify right side
    395,783.72x = 595,801,677,196.13
  5. Step 5: Solve for x
    x = 595,801,677,196.13/395,783.72
  6. Step 6: Final answer
    x = 1,505,371.87

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.