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Finding the Third Proportional to 325,334 and 704,972

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Solution

The third proportional to 325,334 and 704,972 is: 1,527,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,334 : 704,972 = 704,972 : x
  2. Step 2: Convert to fraction form
    325,334/704,972 = 704,972/x
  3. Step 3: Cross multiply
    325,334x = 704,972 × 704,972
  4. Step 4: Simplify right side
    325,334x = 496,985,520,784
  5. Step 5: Solve for x
    x = 496,985,520,784/325,334
  6. Step 6: Final answer
    x = 1,527,616.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.