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Finding the Third Proportional to 349,212 and 767,007

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Solution

The third proportional to 349,212 and 767,007 is: 1,684,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,212 : 767,007 = 767,007 : x
  2. Step 2: Convert to fraction form
    349,212/767,007 = 767,007/x
  3. Step 3: Cross multiply
    349,212x = 767,007 × 767,007
  4. Step 4: Simplify right side
    349,212x = 588,299,738,049
  5. Step 5: Solve for x
    x = 588,299,738,049/349,212
  6. Step 6: Final answer
    x = 1,684,649.26

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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.