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Finding the Third Proportional to 301,468 and 627,742

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Solution

The third proportional to 301,468 and 627,742 is: 1,307,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,468 : 627,742 = 627,742 : x
  2. Step 2: Convert to fraction form
    301,468/627,742 = 627,742/x
  3. Step 3: Cross multiply
    301,468x = 627,742 × 627,742
  4. Step 4: Simplify right side
    301,468x = 394,060,018,564
  5. Step 5: Solve for x
    x = 394,060,018,564/301,468
  6. Step 6: Final answer
    x = 1,307,137.14

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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.