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Finding the Third Proportional to 325,044 and 519,054

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Solution

The third proportional to 325,044 and 519,054 is: 828,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,044 : 519,054 = 519,054 : x
  2. Step 2: Convert to fraction form
    325,044/519,054 = 519,054/x
  3. Step 3: Cross multiply
    325,044x = 519,054 × 519,054
  4. Step 4: Simplify right side
    325,044x = 269,417,054,916
  5. Step 5: Solve for x
    x = 269,417,054,916/325,044
  6. Step 6: Final answer
    x = 828,863.34

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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.