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Finding the Third Proportional to 325,672 and 464,856

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Solution

The third proportional to 325,672 and 464,856 is: 663,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,672 : 464,856 = 464,856 : x
  2. Step 2: Convert to fraction form
    325,672/464,856 = 464,856/x
  3. Step 3: Cross multiply
    325,672x = 464,856 × 464,856
  4. Step 4: Simplify right side
    325,672x = 216,091,100,736
  5. Step 5: Solve for x
    x = 216,091,100,736/325,672
  6. Step 6: Final answer
    x = 663,523.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.