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Finding the Third Proportional to 325,954 and 518,657.50

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Solution

The third proportional to 325,954 and 518,657.50 is: 825,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,954 : 518,657.50 = 518,657.50 : x
  2. Step 2: Convert to fraction form
    325,954/518,657.50 = 518,657.50/x
  3. Step 3: Cross multiply
    325,954x = 518,657.50 × 518,657.50
  4. Step 4: Simplify right side
    325,954x = 269,005,602,306.25
  5. Step 5: Solve for x
    x = 269,005,602,306.25/325,954
  6. Step 6: Final answer
    x = 825,287.01

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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.