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Finding the Third Proportional to 349,443 and 756,011

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Solution

The third proportional to 349,443 and 756,011 is: 1,635,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,443 : 756,011 = 756,011 : x
  2. Step 2: Convert to fraction form
    349,443/756,011 = 756,011/x
  3. Step 3: Cross multiply
    349,443x = 756,011 × 756,011
  4. Step 4: Simplify right side
    349,443x = 571,552,632,121
  5. Step 5: Solve for x
    x = 571,552,632,121/349,443
  6. Step 6: Final answer
    x = 1,635,610.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.