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Finding the Third Proportional to 350,680 and 766,967

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Solution

The third proportional to 350,680 and 766,967 is: 1,677,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,680 : 766,967 = 766,967 : x
  2. Step 2: Convert to fraction form
    350,680/766,967 = 766,967/x
  3. Step 3: Cross multiply
    350,680x = 766,967 × 766,967
  4. Step 4: Simplify right side
    350,680x = 588,238,379,089
  5. Step 5: Solve for x
    x = 588,238,379,089/350,680
  6. Step 6: Final answer
    x = 1,677,422.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.