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Finding the Third Proportional to 291,969 and 628,947

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Solution

The third proportional to 291,969 and 628,947 is: 1,354,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,969 : 628,947 = 628,947 : x
  2. Step 2: Convert to fraction form
    291,969/628,947 = 628,947/x
  3. Step 3: Cross multiply
    291,969x = 628,947 × 628,947
  4. Step 4: Simplify right side
    291,969x = 395,574,328,809
  5. Step 5: Solve for x
    x = 395,574,328,809/291,969
  6. Step 6: Final answer
    x = 1,354,850.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.