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Finding the Third Proportional to 363,576 and 778,992

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Solution

The third proportional to 363,576 and 778,992 is: 1,669,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,576 : 778,992 = 778,992 : x
  2. Step 2: Convert to fraction form
    363,576/778,992 = 778,992/x
  3. Step 3: Cross multiply
    363,576x = 778,992 × 778,992
  4. Step 4: Simplify right side
    363,576x = 606,828,536,064
  5. Step 5: Solve for x
    x = 606,828,536,064/363,576
  6. Step 6: Final answer
    x = 1,669,055.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.