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Finding the Third Proportional to 349,208 and 767,000

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Solution

The third proportional to 349,208 and 767,000 is: 1,684,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,208 : 767,000 = 767,000 : x
  2. Step 2: Convert to fraction form
    349,208/767,000 = 767,000/x
  3. Step 3: Cross multiply
    349,208x = 767,000 × 767,000
  4. Step 4: Simplify right side
    349,208x = 588,289,000,000
  5. Step 5: Solve for x
    x = 588,289,000,000/349,208
  6. Step 6: Final answer
    x = 1,684,637.81

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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.