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Finding the Third Proportional to 325,032 and 519,036

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Solution

The third proportional to 325,032 and 519,036 is: 828,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,032 : 519,036 = 519,036 : x
  2. Step 2: Convert to fraction form
    325,032/519,036 = 519,036/x
  3. Step 3: Cross multiply
    325,032x = 519,036 × 519,036
  4. Step 4: Simplify right side
    325,032x = 269,398,369,296
  5. Step 5: Solve for x
    x = 269,398,369,296/325,032
  6. Step 6: Final answer
    x = 828,836.45

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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.