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Finding the Third Proportional to 348,864 and 776,616

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Solution

The third proportional to 348,864 and 776,616 is: 1,728,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,864 : 776,616 = 776,616 : x
  2. Step 2: Convert to fraction form
    348,864/776,616 = 776,616/x
  3. Step 3: Cross multiply
    348,864x = 776,616 × 776,616
  4. Step 4: Simplify right side
    348,864x = 603,132,411,456
  5. Step 5: Solve for x
    x = 603,132,411,456/348,864
  6. Step 6: Final answer
    x = 1,728,846.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.