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Finding the Third Proportional to 301,191 and 627,352.50

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Solution

The third proportional to 301,191 and 627,352.50 is: 1,306,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,191 : 627,352.50 = 627,352.50 : x
  2. Step 2: Convert to fraction form
    301,191/627,352.50 = 627,352.50/x
  3. Step 3: Cross multiply
    301,191x = 627,352.50 × 627,352.50
  4. Step 4: Simplify right side
    301,191x = 393,571,159,256.25
  5. Step 5: Solve for x
    x = 393,571,159,256.25/301,191
  6. Step 6: Final answer
    x = 1,306,716.20

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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.