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Finding the Third Proportional to 301,224 and 627,396

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Solution

The third proportional to 301,224 and 627,396 is: 1,306,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,224 : 627,396 = 627,396 : x
  2. Step 2: Convert to fraction form
    301,224/627,396 = 627,396/x
  3. Step 3: Cross multiply
    301,224x = 627,396 × 627,396
  4. Step 4: Simplify right side
    301,224x = 393,625,740,816
  5. Step 5: Solve for x
    x = 393,625,740,816/301,224
  6. Step 6: Final answer
    x = 1,306,754.25

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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.