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Finding the Third Proportional to 282,993 and 616,530

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Solution

The third proportional to 282,993 and 616,530 is: 1,343,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,993 : 616,530 = 616,530 : x
  2. Step 2: Convert to fraction form
    282,993/616,530 = 616,530/x
  3. Step 3: Cross multiply
    282,993x = 616,530 × 616,530
  4. Step 4: Simplify right side
    282,993x = 380,109,240,900
  5. Step 5: Solve for x
    x = 380,109,240,900/282,993
  6. Step 6: Final answer
    x = 1,343,175.42

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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.