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Finding the Third Proportional to 305,895 and 670,884

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Solution

The third proportional to 305,895 and 670,884 is: 1,471,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,895 : 670,884 = 670,884 : x
  2. Step 2: Convert to fraction form
    305,895/670,884 = 670,884/x
  3. Step 3: Cross multiply
    305,895x = 670,884 × 670,884
  4. Step 4: Simplify right side
    305,895x = 450,085,341,456
  5. Step 5: Solve for x
    x = 450,085,341,456/305,895
  6. Step 6: Final answer
    x = 1,471,372.01

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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.