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Finding the Third Proportional to 325,344 and 704,992

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Solution

The third proportional to 325,344 and 704,992 is: 1,527,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,344 : 704,992 = 704,992 : x
  2. Step 2: Convert to fraction form
    325,344/704,992 = 704,992/x
  3. Step 3: Cross multiply
    325,344x = 704,992 × 704,992
  4. Step 4: Simplify right side
    325,344x = 497,013,720,064
  5. Step 5: Solve for x
    x = 497,013,720,064/325,344
  6. Step 6: Final answer
    x = 1,527,656.02

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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.