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Finding the Third Proportional to 301,594 and 627,992

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Solution

The third proportional to 301,594 and 627,992 is: 1,307,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,594 : 627,992 = 627,992 : x
  2. Step 2: Convert to fraction form
    301,594/627,992 = 627,992/x
  3. Step 3: Cross multiply
    301,594x = 627,992 × 627,992
  4. Step 4: Simplify right side
    301,594x = 394,373,952,064
  5. Step 5: Solve for x
    x = 394,373,952,064/301,594
  6. Step 6: Final answer
    x = 1,307,631.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.