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Finding the Third Proportional to 301,955 and 617,014

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Solution

The third proportional to 301,955 and 617,014 is: 1,260,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,955 : 617,014 = 617,014 : x
  2. Step 2: Convert to fraction form
    301,955/617,014 = 617,014/x
  3. Step 3: Cross multiply
    301,955x = 617,014 × 617,014
  4. Step 4: Simplify right side
    301,955x = 380,706,276,196
  5. Step 5: Solve for x
    x = 380,706,276,196/301,955
  6. Step 6: Final answer
    x = 1,260,804.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.