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Finding the Third Proportional to 338,119 and 713,962

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Solution

The third proportional to 338,119 and 713,962 is: 1,507,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,119 : 713,962 = 713,962 : x
  2. Step 2: Convert to fraction form
    338,119/713,962 = 713,962/x
  3. Step 3: Cross multiply
    338,119x = 713,962 × 713,962
  4. Step 4: Simplify right side
    338,119x = 509,741,737,444
  5. Step 5: Solve for x
    x = 509,741,737,444/338,119
  6. Step 6: Final answer
    x = 1,507,580.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.