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Finding the Third Proportional to 331,298 and 715,052

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Solution

The third proportional to 331,298 and 715,052 is: 1,543,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,298 : 715,052 = 715,052 : x
  2. Step 2: Convert to fraction form
    331,298/715,052 = 715,052/x
  3. Step 3: Cross multiply
    331,298x = 715,052 × 715,052
  4. Step 4: Simplify right side
    331,298x = 511,299,362,704
  5. Step 5: Solve for x
    x = 511,299,362,704/331,298
  6. Step 6: Final answer
    x = 1,543,321.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.