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Finding the Third Proportional to 305,210 and 464,916

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Solution

The third proportional to 305,210 and 464,916 is: 708,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,210 : 464,916 = 464,916 : x
  2. Step 2: Convert to fraction form
    305,210/464,916 = 464,916/x
  3. Step 3: Cross multiply
    305,210x = 464,916 × 464,916
  4. Step 4: Simplify right side
    305,210x = 216,146,887,056
  5. Step 5: Solve for x
    x = 216,146,887,056/305,210
  6. Step 6: Final answer
    x = 708,190.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.