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Finding the Third Proportional to 295,758 and 480,546

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Solution

The third proportional to 295,758 and 480,546 is: 780,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,758 : 480,546 = 480,546 : x
  2. Step 2: Convert to fraction form
    295,758/480,546 = 480,546/x
  3. Step 3: Cross multiply
    295,758x = 480,546 × 480,546
  4. Step 4: Simplify right side
    295,758x = 230,924,458,116
  5. Step 5: Solve for x
    x = 230,924,458,116/295,758
  6. Step 6: Final answer
    x = 780,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.