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Finding the Third Proportional to 325,377 and 706,108.50

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Solution

The third proportional to 325,377 and 706,108.50 is: 1,532,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,377 : 706,108.50 = 706,108.50 : x
  2. Step 2: Convert to fraction form
    325,377/706,108.50 = 706,108.50/x
  3. Step 3: Cross multiply
    325,377x = 706,108.50 × 706,108.50
  4. Step 4: Simplify right side
    325,377x = 498,589,213,772.25
  5. Step 5: Solve for x
    x = 498,589,213,772.25/325,377
  6. Step 6: Final answer
    x = 1,532,343.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.