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Finding the Third Proportional to 347,010.50 and 835,961.50

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Solution

The third proportional to 347,010.50 and 835,961.50 is: 2,013,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,010.50 : 835,961.50 = 835,961.50 : x
  2. Step 2: Convert to fraction form
    347,010.50/835,961.50 = 835,961.50/x
  3. Step 3: Cross multiply
    347,010.50x = 835,961.50 × 835,961.50
  4. Step 4: Simplify right side
    347,010.50x = 698,831,629,482.25
  5. Step 5: Solve for x
    x = 698,831,629,482.25/347,010.50
  6. Step 6: Final answer
    x = 2,013,863.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.