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Finding the Third Proportional to 348,498 and 756,004

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Solution

The third proportional to 348,498 and 756,004 is: 1,640,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,498 : 756,004 = 756,004 : x
  2. Step 2: Convert to fraction form
    348,498/756,004 = 756,004/x
  3. Step 3: Cross multiply
    348,498x = 756,004 × 756,004
  4. Step 4: Simplify right side
    348,498x = 571,542,048,016
  5. Step 5: Solve for x
    x = 571,542,048,016/348,498
  6. Step 6: Final answer
    x = 1,640,015.29

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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.