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Finding the Third Proportional to 348,846 and 756,984

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Solution

The third proportional to 348,846 and 756,984 is: 1,642,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,846 : 756,984 = 756,984 : x
  2. Step 2: Convert to fraction form
    348,846/756,984 = 756,984/x
  3. Step 3: Cross multiply
    348,846x = 756,984 × 756,984
  4. Step 4: Simplify right side
    348,846x = 573,024,776,256
  5. Step 5: Solve for x
    x = 573,024,776,256/348,846
  6. Step 6: Final answer
    x = 1,642,629.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.