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Finding the Third Proportional to 331,704 and 715,248

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Solution

The third proportional to 331,704 and 715,248 is: 1,542,277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,704 : 715,248 = 715,248 : x
  2. Step 2: Convert to fraction form
    331,704/715,248 = 715,248/x
  3. Step 3: Cross multiply
    331,704x = 715,248 × 715,248
  4. Step 4: Simplify right side
    331,704x = 511,579,701,504
  5. Step 5: Solve for x
    x = 511,579,701,504/331,704
  6. Step 6: Final answer
    x = 1,542,277.76

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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.