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Finding the Third Proportional to 351,486 and 756,371.25

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Solution

The third proportional to 351,486 and 756,371.25 is: 1,627,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,486 : 756,371.25 = 756,371.25 : x
  2. Step 2: Convert to fraction form
    351,486/756,371.25 = 756,371.25/x
  3. Step 3: Cross multiply
    351,486x = 756,371.25 × 756,371.25
  4. Step 4: Simplify right side
    351,486x = 572,097,467,826.56
  5. Step 5: Solve for x
    x = 572,097,467,826.56/351,486
  6. Step 6: Final answer
    x = 1,627,653.64

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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.