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Finding the Third Proportional to 397,008 and 937,053

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Solution

The third proportional to 397,008 and 937,053 is: 2,211,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,008 : 937,053 = 937,053 : x
  2. Step 2: Convert to fraction form
    397,008/937,053 = 937,053/x
  3. Step 3: Cross multiply
    397,008x = 937,053 × 937,053
  4. Step 4: Simplify right side
    397,008x = 878,068,324,809
  5. Step 5: Solve for x
    x = 878,068,324,809/397,008
  6. Step 6: Final answer
    x = 2,211,714.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.