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Finding the Third Proportional to 350,342 and 766,116

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Solution

The third proportional to 350,342 and 766,116 is: 1,675,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,342 : 766,116 = 766,116 : x
  2. Step 2: Convert to fraction form
    350,342/766,116 = 766,116/x
  3. Step 3: Cross multiply
    350,342x = 766,116 × 766,116
  4. Step 4: Simplify right side
    350,342x = 586,933,725,456
  5. Step 5: Solve for x
    x = 586,933,725,456/350,342
  6. Step 6: Final answer
    x = 1,675,316.48

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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.