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Finding the Third Proportional to 301,912 and 616,933

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Solution

The third proportional to 301,912 and 616,933 is: 1,260,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912 : 616,933 = 616,933 : x
  2. Step 2: Convert to fraction form
    301,912/616,933 = 616,933/x
  3. Step 3: Cross multiply
    301,912x = 616,933 × 616,933
  4. Step 4: Simplify right side
    301,912x = 380,606,326,489
  5. Step 5: Solve for x
    x = 380,606,326,489/301,912
  6. Step 6: Final answer
    x = 1,260,653.19

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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.