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Finding the Third Proportional to 328,968 and 704,640

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Solution

The third proportional to 328,968 and 704,640 is: 1,509,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,968 : 704,640 = 704,640 : x
  2. Step 2: Convert to fraction form
    328,968/704,640 = 704,640/x
  3. Step 3: Cross multiply
    328,968x = 704,640 × 704,640
  4. Step 4: Simplify right side
    328,968x = 496,517,529,600
  5. Step 5: Solve for x
    x = 496,517,529,600/328,968
  6. Step 6: Final answer
    x = 1,509,318.63

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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.