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Finding the Third Proportional to 352,798 and 762,184

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Solution

The third proportional to 352,798 and 762,184 is: 1,646,620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,798 : 762,184 = 762,184 : x
  2. Step 2: Convert to fraction form
    352,798/762,184 = 762,184/x
  3. Step 3: Cross multiply
    352,798x = 762,184 × 762,184
  4. Step 4: Simplify right side
    352,798x = 580,924,449,856
  5. Step 5: Solve for x
    x = 580,924,449,856/352,798
  6. Step 6: Final answer
    x = 1,646,620.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.