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Finding the Third Proportional to 328,974 and 704,652

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Solution

The third proportional to 328,974 and 704,652 is: 1,509,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,974 : 704,652 = 704,652 : x
  2. Step 2: Convert to fraction form
    328,974/704,652 = 704,652/x
  3. Step 3: Cross multiply
    328,974x = 704,652 × 704,652
  4. Step 4: Simplify right side
    328,974x = 496,534,441,104
  5. Step 5: Solve for x
    x = 496,534,441,104/328,974
  6. Step 6: Final answer
    x = 1,509,342.50

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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.