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Finding the Third Proportional to 349,728 and 761,736

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Solution

The third proportional to 349,728 and 761,736 is: 1,659,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,728 : 761,736 = 761,736 : x
  2. Step 2: Convert to fraction form
    349,728/761,736 = 761,736/x
  3. Step 3: Cross multiply
    349,728x = 761,736 × 761,736
  4. Step 4: Simplify right side
    349,728x = 580,241,733,696
  5. Step 5: Solve for x
    x = 580,241,733,696/349,728
  6. Step 6: Final answer
    x = 1,659,122.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.