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Finding the Third Proportional to 282,900 and 616,296

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Solution

The third proportional to 282,900 and 616,296 is: 1,342,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,900 : 616,296 = 616,296 : x
  2. Step 2: Convert to fraction form
    282,900/616,296 = 616,296/x
  3. Step 3: Cross multiply
    282,900x = 616,296 × 616,296
  4. Step 4: Simplify right side
    282,900x = 379,820,759,616
  5. Step 5: Solve for x
    x = 379,820,759,616/282,900
  6. Step 6: Final answer
    x = 1,342,597.24

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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.