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Finding the Third Proportional to 348,192 and 726,656

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Solution

The third proportional to 348,192 and 726,656 is: 1,516,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,192 : 726,656 = 726,656 : x
  2. Step 2: Convert to fraction form
    348,192/726,656 = 726,656/x
  3. Step 3: Cross multiply
    348,192x = 726,656 × 726,656
  4. Step 4: Simplify right side
    348,192x = 528,028,942,336
  5. Step 5: Solve for x
    x = 528,028,942,336/348,192
  6. Step 6: Final answer
    x = 1,516,487.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.