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Finding the Third Proportional to 360,447 and 767,481.75

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Solution

The third proportional to 360,447 and 767,481.75 is: 1,634,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,447 : 767,481.75 = 767,481.75 : x
  2. Step 2: Convert to fraction form
    360,447/767,481.75 = 767,481.75/x
  3. Step 3: Cross multiply
    360,447x = 767,481.75 × 767,481.75
  4. Step 4: Simplify right side
    360,447x = 589,028,236,583.06
  5. Step 5: Solve for x
    x = 589,028,236,583.06/360,447
  6. Step 6: Final answer
    x = 1,634,160.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.