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Finding the Third Proportional to 350,118 and 768,006

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Solution

The third proportional to 350,118 and 768,006 is: 1,684,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,118 : 768,006 = 768,006 : x
  2. Step 2: Convert to fraction form
    350,118/768,006 = 768,006/x
  3. Step 3: Cross multiply
    350,118x = 768,006 × 768,006
  4. Step 4: Simplify right side
    350,118x = 589,833,216,036
  5. Step 5: Solve for x
    x = 589,833,216,036/350,118
  6. Step 6: Final answer
    x = 1,684,669.79

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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.