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Finding the Third Proportional to 399,884 and 600,984

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Solution

The third proportional to 399,884 and 600,984 is: 903,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,884 : 600,984 = 600,984 : x
  2. Step 2: Convert to fraction form
    399,884/600,984 = 600,984/x
  3. Step 3: Cross multiply
    399,884x = 600,984 × 600,984
  4. Step 4: Simplify right side
    399,884x = 361,181,768,256
  5. Step 5: Solve for x
    x = 361,181,768,256/399,884
  6. Step 6: Final answer
    x = 903,216.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.