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Finding the Third Proportional to 314,680 and 483,965

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Solution

The third proportional to 314,680 and 483,965 is: 744,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,680 : 483,965 = 483,965 : x
  2. Step 2: Convert to fraction form
    314,680/483,965 = 483,965/x
  3. Step 3: Cross multiply
    314,680x = 483,965 × 483,965
  4. Step 4: Simplify right side
    314,680x = 234,222,121,225
  5. Step 5: Solve for x
    x = 234,222,121,225/314,680
  6. Step 6: Final answer
    x = 744,318.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.