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Finding the Third Proportional to 301,914 and 646,110

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Solution

The third proportional to 301,914 and 646,110 is: 1,382,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,914 : 646,110 = 646,110 : x
  2. Step 2: Convert to fraction form
    301,914/646,110 = 646,110/x
  3. Step 3: Cross multiply
    301,914x = 646,110 × 646,110
  4. Step 4: Simplify right side
    301,914x = 417,458,132,100
  5. Step 5: Solve for x
    x = 417,458,132,100/301,914
  6. Step 6: Final answer
    x = 1,382,705.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.