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Finding the Third Proportional to 301,918 and 616,944

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Solution

The third proportional to 301,918 and 616,944 is: 1,260,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,918 : 616,944 = 616,944 : x
  2. Step 2: Convert to fraction form
    301,918/616,944 = 616,944/x
  3. Step 3: Cross multiply
    301,918x = 616,944 × 616,944
  4. Step 4: Simplify right side
    301,918x = 380,619,899,136
  5. Step 5: Solve for x
    x = 380,619,899,136/301,918
  6. Step 6: Final answer
    x = 1,260,673.09

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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.