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Finding the Third Proportional to 281,384 and 616,132

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Solution

The third proportional to 281,384 and 616,132 is: 1,349,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,384 : 616,132 = 616,132 : x
  2. Step 2: Convert to fraction form
    281,384/616,132 = 616,132/x
  3. Step 3: Cross multiply
    281,384x = 616,132 × 616,132
  4. Step 4: Simplify right side
    281,384x = 379,618,641,424
  5. Step 5: Solve for x
    x = 379,618,641,424/281,384
  6. Step 6: Final answer
    x = 1,349,112.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.