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Finding the Third Proportional to 350,668 and 766,946

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Solution

The third proportional to 350,668 and 766,946 is: 1,677,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,668 : 766,946 = 766,946 : x
  2. Step 2: Convert to fraction form
    350,668/766,946 = 766,946/x
  3. Step 3: Cross multiply
    350,668x = 766,946 × 766,946
  4. Step 4: Simplify right side
    350,668x = 588,206,166,916
  5. Step 5: Solve for x
    x = 588,206,166,916/350,668
  6. Step 6: Final answer
    x = 1,677,387.63

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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.