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Finding the Third Proportional to 400,086 and 619,083

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Solution

The third proportional to 400,086 and 619,083 is: 957,953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,086 : 619,083 = 619,083 : x
  2. Step 2: Convert to fraction form
    400,086/619,083 = 619,083/x
  3. Step 3: Cross multiply
    400,086x = 619,083 × 619,083
  4. Step 4: Simplify right side
    400,086x = 383,263,760,889
  5. Step 5: Solve for x
    x = 383,263,760,889/400,086
  6. Step 6: Final answer
    x = 957,953.44

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Why These Related Problems?

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