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Finding the Third Proportional to 350,166 and 768,914

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Solution

The third proportional to 350,166 and 768,914 is: 1,688,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,166 : 768,914 = 768,914 : x
  2. Step 2: Convert to fraction form
    350,166/768,914 = 768,914/x
  3. Step 3: Cross multiply
    350,166x = 768,914 × 768,914
  4. Step 4: Simplify right side
    350,166x = 591,228,739,396
  5. Step 5: Solve for x
    x = 591,228,739,396/350,166
  6. Step 6: Final answer
    x = 1,688,424.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.