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Finding the Third Proportional to 348,194 and 726,660

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Solution

The third proportional to 348,194 and 726,660 is: 1,516,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,194 : 726,660 = 726,660 : x
  2. Step 2: Convert to fraction form
    348,194/726,660 = 726,660/x
  3. Step 3: Cross multiply
    348,194x = 726,660 × 726,660
  4. Step 4: Simplify right side
    348,194x = 528,034,755,600
  5. Step 5: Solve for x
    x = 528,034,755,600/348,194
  6. Step 6: Final answer
    x = 1,516,495.85

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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.