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Finding the Third Proportional to 185,420 and 439,246

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Solution

The third proportional to 185,420 and 439,246 is: 1,040,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,420 : 439,246 = 439,246 : x
  2. Step 2: Convert to fraction form
    185,420/439,246 = 439,246/x
  3. Step 3: Cross multiply
    185,420x = 439,246 × 439,246
  4. Step 4: Simplify right side
    185,420x = 192,937,048,516
  5. Step 5: Solve for x
    x = 192,937,048,516/185,420
  6. Step 6: Final answer
    x = 1,040,540.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.