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Finding the Third Proportional to 301,233 and 627,438

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Solution

The third proportional to 301,233 and 627,438 is: 1,306,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,233 : 627,438 = 627,438 : x
  2. Step 2: Convert to fraction form
    301,233/627,438 = 627,438/x
  3. Step 3: Cross multiply
    301,233x = 627,438 × 627,438
  4. Step 4: Simplify right side
    301,233x = 393,678,443,844
  5. Step 5: Solve for x
    x = 393,678,443,844/301,233
  6. Step 6: Final answer
    x = 1,306,890.16

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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.