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Finding the Third Proportional to 388,719 and 599,683.50

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Solution

The third proportional to 388,719 and 599,683.50 is: 925,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,719 : 599,683.50 = 599,683.50 : x
  2. Step 2: Convert to fraction form
    388,719/599,683.50 = 599,683.50/x
  3. Step 3: Cross multiply
    388,719x = 599,683.50 × 599,683.50
  4. Step 4: Simplify right side
    388,719x = 359,620,300,172.25
  5. Step 5: Solve for x
    x = 359,620,300,172.25/388,719
  6. Step 6: Final answer
    x = 925,142.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.