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Finding the Third Proportional to 299,190 and 654,696

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Solution

The third proportional to 299,190 and 654,696 is: 1,432,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,190 : 654,696 = 654,696 : x
  2. Step 2: Convert to fraction form
    299,190/654,696 = 654,696/x
  3. Step 3: Cross multiply
    299,190x = 654,696 × 654,696
  4. Step 4: Simplify right side
    299,190x = 428,626,852,416
  5. Step 5: Solve for x
    x = 428,626,852,416/299,190
  6. Step 6: Final answer
    x = 1,432,624.26

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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.