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Finding the Third Proportional to 382,827 and 570,504

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Solution

The third proportional to 382,827 and 570,504 is: 850,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,827 : 570,504 = 570,504 : x
  2. Step 2: Convert to fraction form
    382,827/570,504 = 570,504/x
  3. Step 3: Cross multiply
    382,827x = 570,504 × 570,504
  4. Step 4: Simplify right side
    382,827x = 325,474,814,016
  5. Step 5: Solve for x
    x = 325,474,814,016/382,827
  6. Step 6: Final answer
    x = 850,187.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.