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Finding the Third Proportional to 325,034 and 519,039

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Solution

The third proportional to 325,034 and 519,039 is: 828,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,034 : 519,039 = 519,039 : x
  2. Step 2: Convert to fraction form
    325,034/519,039 = 519,039/x
  3. Step 3: Cross multiply
    325,034x = 519,039 × 519,039
  4. Step 4: Simplify right side
    325,034x = 269,401,483,521
  5. Step 5: Solve for x
    x = 269,401,483,521/325,034
  6. Step 6: Final answer
    x = 828,840.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.