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Finding the Third Proportional to 350,334 and 766,102

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Solution

The third proportional to 350,334 and 766,102 is: 1,675,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,334 : 766,102 = 766,102 : x
  2. Step 2: Convert to fraction form
    350,334/766,102 = 766,102/x
  3. Step 3: Cross multiply
    350,334x = 766,102 × 766,102
  4. Step 4: Simplify right side
    350,334x = 586,912,274,404
  5. Step 5: Solve for x
    x = 586,912,274,404/350,334
  6. Step 6: Final answer
    x = 1,675,293.50

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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.