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Finding the Third Proportional to 331,296 and 715,048

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Solution

The third proportional to 331,296 and 715,048 is: 1,543,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,296 : 715,048 = 715,048 : x
  2. Step 2: Convert to fraction form
    331,296/715,048 = 715,048/x
  3. Step 3: Cross multiply
    331,296x = 715,048 × 715,048
  4. Step 4: Simplify right side
    331,296x = 511,293,642,304
  5. Step 5: Solve for x
    x = 511,293,642,304/331,296
  6. Step 6: Final answer
    x = 1,543,313.66

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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.