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Finding the Third Proportional to 301,907 and 639,778

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Solution

The third proportional to 301,907 and 639,778 is: 1,355,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,907 : 639,778 = 639,778 : x
  2. Step 2: Convert to fraction form
    301,907/639,778 = 639,778/x
  3. Step 3: Cross multiply
    301,907x = 639,778 × 639,778
  4. Step 4: Simplify right side
    301,907x = 409,315,889,284
  5. Step 5: Solve for x
    x = 409,315,889,284/301,907
  6. Step 6: Final answer
    x = 1,355,768.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.