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Finding the Third Proportional to 325,024 and 519,020

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Solution

The third proportional to 325,024 and 519,020 is: 828,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,024 : 519,020 = 519,020 : x
  2. Step 2: Convert to fraction form
    325,024/519,020 = 519,020/x
  3. Step 3: Cross multiply
    325,024x = 519,020 × 519,020
  4. Step 4: Simplify right side
    325,024x = 269,381,760,400
  5. Step 5: Solve for x
    x = 269,381,760,400/325,024
  6. Step 6: Final answer
    x = 828,805.75

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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.