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Finding the Third Proportional to 306,546 and 670,116

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Solution

The third proportional to 306,546 and 670,116 is: 1,464,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,546 : 670,116 = 670,116 : x
  2. Step 2: Convert to fraction form
    306,546/670,116 = 670,116/x
  3. Step 3: Cross multiply
    306,546x = 670,116 × 670,116
  4. Step 4: Simplify right side
    306,546x = 449,055,453,456
  5. Step 5: Solve for x
    x = 449,055,453,456/306,546
  6. Step 6: Final answer
    x = 1,464,887.66

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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.