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Finding the Third Proportional to 325,116.13 and 698,168.50

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Solution

The third proportional to 325,116.13 and 698,168.50 is: 1,499,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,116.13 : 698,168.50 = 698,168.50 : x
  2. Step 2: Convert to fraction form
    325,116.13/698,168.50 = 698,168.50/x
  3. Step 3: Cross multiply
    325,116.13x = 698,168.50 × 698,168.50
  4. Step 4: Simplify right side
    325,116.13x = 487,439,254,392.25
  5. Step 5: Solve for x
    x = 487,439,254,392.25/325,116.13
  6. Step 6: Final answer
    x = 1,499,277.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.