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Finding the Third Proportional to 325,890 and 518,562

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Solution

The third proportional to 325,890 and 518,562 is: 825,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,890 : 518,562 = 518,562 : x
  2. Step 2: Convert to fraction form
    325,890/518,562 = 518,562/x
  3. Step 3: Cross multiply
    325,890x = 518,562 × 518,562
  4. Step 4: Simplify right side
    325,890x = 268,906,547,844
  5. Step 5: Solve for x
    x = 268,906,547,844/325,890
  6. Step 6: Final answer
    x = 825,145.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.