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Finding the Third Proportional to 374,816 and 806,944

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Solution

The third proportional to 374,816 and 806,944 is: 1,737,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,816 : 806,944 = 806,944 : x
  2. Step 2: Convert to fraction form
    374,816/806,944 = 806,944/x
  3. Step 3: Cross multiply
    374,816x = 806,944 × 806,944
  4. Step 4: Simplify right side
    374,816x = 651,158,619,136
  5. Step 5: Solve for x
    x = 651,158,619,136/374,816
  6. Step 6: Final answer
    x = 1,737,275.41

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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.