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Finding the Third Proportional to 200,396 and 310,719

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Solution

The third proportional to 200,396 and 310,719 is: 481,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,396 : 310,719 = 310,719 : x
  2. Step 2: Convert to fraction form
    200,396/310,719 = 310,719/x
  3. Step 3: Cross multiply
    200,396x = 310,719 × 310,719
  4. Step 4: Simplify right side
    200,396x = 96,546,296,961
  5. Step 5: Solve for x
    x = 96,546,296,961/200,396
  6. Step 6: Final answer
    x = 481,777.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.