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Finding the Third Proportional to 400,548 and 619,992

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Solution

The third proportional to 400,548 and 619,992 is: 959,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,548 : 619,992 = 619,992 : x
  2. Step 2: Convert to fraction form
    400,548/619,992 = 619,992/x
  3. Step 3: Cross multiply
    400,548x = 619,992 × 619,992
  4. Step 4: Simplify right side
    400,548x = 384,390,080,064
  5. Step 5: Solve for x
    x = 384,390,080,064/400,548
  6. Step 6: Final answer
    x = 959,660.47

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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.