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Finding the Third Proportional to 358,379.44 and 769,883.06

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Solution

The third proportional to 358,379.44 and 769,883.06 is: 1,653,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,379.44 : 769,883.06 = 769,883.06 : x
  2. Step 2: Convert to fraction form
    358,379.44/769,883.06 = 769,883.06/x
  3. Step 3: Cross multiply
    358,379.44x = 769,883.06 × 769,883.06
  4. Step 4: Simplify right side
    358,379.44x = 592,719,929,924.38
  5. Step 5: Solve for x
    x = 592,719,929,924.38/358,379.44
  6. Step 6: Final answer
    x = 1,653,889.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.