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Finding the Third Proportional to 301,532 and 627,875

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Solution

The third proportional to 301,532 and 627,875 is: 1,307,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,532 : 627,875 = 627,875 : x
  2. Step 2: Convert to fraction form
    301,532/627,875 = 627,875/x
  3. Step 3: Cross multiply
    301,532x = 627,875 × 627,875
  4. Step 4: Simplify right side
    301,532x = 394,227,015,625
  5. Step 5: Solve for x
    x = 394,227,015,625/301,532
  6. Step 6: Final answer
    x = 1,307,413.53

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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.