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Finding the Third Proportional to 301,201 and 627,349

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Solution

The third proportional to 301,201 and 627,349 is: 1,306,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,201 : 627,349 = 627,349 : x
  2. Step 2: Convert to fraction form
    301,201/627,349 = 627,349/x
  3. Step 3: Cross multiply
    301,201x = 627,349 × 627,349
  4. Step 4: Simplify right side
    301,201x = 393,566,767,801
  5. Step 5: Solve for x
    x = 393,566,767,801/301,201
  6. Step 6: Final answer
    x = 1,306,658.24

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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.