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Finding the Third Proportional to 283,116 and 616,184

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Solution

The third proportional to 283,116 and 616,184 is: 1,341,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,116 : 616,184 = 616,184 : x
  2. Step 2: Convert to fraction form
    283,116/616,184 = 616,184/x
  3. Step 3: Cross multiply
    283,116x = 616,184 × 616,184
  4. Step 4: Simplify right side
    283,116x = 379,682,721,856
  5. Step 5: Solve for x
    x = 379,682,721,856/283,116
  6. Step 6: Final answer
    x = 1,341,085.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.