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Finding the Third Proportional to 296,583 and 699,828

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Solution

The third proportional to 296,583 and 699,828 is: 1,651,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,583 : 699,828 = 699,828 : x
  2. Step 2: Convert to fraction form
    296,583/699,828 = 699,828/x
  3. Step 3: Cross multiply
    296,583x = 699,828 × 699,828
  4. Step 4: Simplify right side
    296,583x = 489,759,229,584
  5. Step 5: Solve for x
    x = 489,759,229,584/296,583
  6. Step 6: Final answer
    x = 1,651,339.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.