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Finding the Third Proportional to 394,020 and 837,252

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Solution

The third proportional to 394,020 and 837,252 is: 1,779,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,020 : 837,252 = 837,252 : x
  2. Step 2: Convert to fraction form
    394,020/837,252 = 837,252/x
  3. Step 3: Cross multiply
    394,020x = 837,252 × 837,252
  4. Step 4: Simplify right side
    394,020x = 700,990,911,504
  5. Step 5: Solve for x
    x = 700,990,911,504/394,020
  6. Step 6: Final answer
    x = 1,779,074.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.