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Finding the Third Proportional to 350,361 and 766,148

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Solution

The third proportional to 350,361 and 766,148 is: 1,675,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,361 : 766,148 = 766,148 : x
  2. Step 2: Convert to fraction form
    350,361/766,148 = 766,148/x
  3. Step 3: Cross multiply
    350,361x = 766,148 × 766,148
  4. Step 4: Simplify right side
    350,361x = 586,982,757,904
  5. Step 5: Solve for x
    x = 586,982,757,904/350,361
  6. Step 6: Final answer
    x = 1,675,365.57

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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.