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Finding the Third Proportional to 350,859 and 768,841.50

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Solution

The third proportional to 350,859 and 768,841.50 is: 1,684,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,859 : 768,841.50 = 768,841.50 : x
  2. Step 2: Convert to fraction form
    350,859/768,841.50 = 768,841.50/x
  3. Step 3: Cross multiply
    350,859x = 768,841.50 × 768,841.50
  4. Step 4: Simplify right side
    350,859x = 591,117,252,122.25
  5. Step 5: Solve for x
    x = 591,117,252,122.25/350,859
  6. Step 6: Final answer
    x = 1,684,771.52

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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.