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Finding the Third Proportional to 301,922 and 616,952

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Solution

The third proportional to 301,922 and 616,952 is: 1,260,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,922 : 616,952 = 616,952 : x
  2. Step 2: Convert to fraction form
    301,922/616,952 = 616,952/x
  3. Step 3: Cross multiply
    301,922x = 616,952 × 616,952
  4. Step 4: Simplify right side
    301,922x = 380,629,770,304
  5. Step 5: Solve for x
    x = 380,629,770,304/301,922
  6. Step 6: Final answer
    x = 1,260,689.09

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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.