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Finding the Third Proportional to 349,642 and 766,676

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Solution

The third proportional to 349,642 and 766,676 is: 1,681,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,642 : 766,676 = 766,676 : x
  2. Step 2: Convert to fraction form
    349,642/766,676 = 766,676/x
  3. Step 3: Cross multiply
    349,642x = 766,676 × 766,676
  4. Step 4: Simplify right side
    349,642x = 587,792,088,976
  5. Step 5: Solve for x
    x = 587,792,088,976/349,642
  6. Step 6: Final answer
    x = 1,681,125.52

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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.