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Finding the Third Proportional to 350,667 and 766,943

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Solution

The third proportional to 350,667 and 766,943 is: 1,677,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,667 : 766,943 = 766,943 : x
  2. Step 2: Convert to fraction form
    350,667/766,943 = 766,943/x
  3. Step 3: Cross multiply
    350,667x = 766,943 × 766,943
  4. Step 4: Simplify right side
    350,667x = 588,201,565,249
  5. Step 5: Solve for x
    x = 588,201,565,249/350,667
  6. Step 6: Final answer
    x = 1,677,379.30

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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.