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Finding the Third Proportional to 328,956 and 704,616

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Solution

The third proportional to 328,956 and 704,616 is: 1,509,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,956 : 704,616 = 704,616 : x
  2. Step 2: Convert to fraction form
    328,956/704,616 = 704,616/x
  3. Step 3: Cross multiply
    328,956x = 704,616 × 704,616
  4. Step 4: Simplify right side
    328,956x = 496,483,707,456
  5. Step 5: Solve for x
    x = 496,483,707,456/328,956
  6. Step 6: Final answer
    x = 1,509,270.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.