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Finding the Third Proportional to 352,094 and 768,703

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Solution

The third proportional to 352,094 and 768,703 is: 1,678,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,094 : 768,703 = 768,703 : x
  2. Step 2: Convert to fraction form
    352,094/768,703 = 768,703/x
  3. Step 3: Cross multiply
    352,094x = 768,703 × 768,703
  4. Step 4: Simplify right side
    352,094x = 590,904,302,209
  5. Step 5: Solve for x
    x = 590,904,302,209/352,094
  6. Step 6: Final answer
    x = 1,678,257.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.