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Finding the Third Proportional to 363,696.75 and 789,601.50

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Solution

The third proportional to 363,696.75 and 789,601.50 is: 1,714,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,696.75 : 789,601.50 = 789,601.50 : x
  2. Step 2: Convert to fraction form
    363,696.75/789,601.50 = 789,601.50/x
  3. Step 3: Cross multiply
    363,696.75x = 789,601.50 × 789,601.50
  4. Step 4: Simplify right side
    363,696.75x = 623,470,528,802.25
  5. Step 5: Solve for x
    x = 623,470,528,802.25/363,696.75
  6. Step 6: Final answer
    x = 1,714,259.28

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Why These Related Problems?

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