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Finding the Third Proportional to 351,714 and 756,756

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Solution

The third proportional to 351,714 and 756,756 is: 1,628,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,714 : 756,756 = 756,756 : x
  2. Step 2: Convert to fraction form
    351,714/756,756 = 756,756/x
  3. Step 3: Cross multiply
    351,714x = 756,756 × 756,756
  4. Step 4: Simplify right side
    351,714x = 572,679,643,536
  5. Step 5: Solve for x
    x = 572,679,643,536/351,714
  6. Step 6: Final answer
    x = 1,628,253.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.