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Finding the Third Proportional to 310,686 and 460,116

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Solution

The third proportional to 310,686 and 460,116 is: 681,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,686 : 460,116 = 460,116 : x
  2. Step 2: Convert to fraction form
    310,686/460,116 = 460,116/x
  3. Step 3: Cross multiply
    310,686x = 460,116 × 460,116
  4. Step 4: Simplify right side
    310,686x = 211,706,733,456
  5. Step 5: Solve for x
    x = 211,706,733,456/310,686
  6. Step 6: Final answer
    x = 681,417.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.