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Finding the Third Proportional to 325,010 and 518,997

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Solution

The third proportional to 325,010 and 518,997 is: 828,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,010 : 518,997 = 518,997 : x
  2. Step 2: Convert to fraction form
    325,010/518,997 = 518,997/x
  3. Step 3: Cross multiply
    325,010x = 518,997 × 518,997
  4. Step 4: Simplify right side
    325,010x = 269,357,886,009
  5. Step 5: Solve for x
    x = 269,357,886,009/325,010
  6. Step 6: Final answer
    x = 828,767.99

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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.