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Finding the Third Proportional to 616,879.69 and 920,181.94

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Solution

The third proportional to 616,879.69 and 920,181.94 is: 1,372,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,879.69 : 920,181.94 = 920,181.94 : x
  2. Step 2: Convert to fraction form
    616,879.69/920,181.94 = 920,181.94/x
  3. Step 3: Cross multiply
    616,879.69x = 920,181.94 × 920,181.94
  4. Step 4: Simplify right side
    616,879.69x = 846,734,798,101.25
  5. Step 5: Solve for x
    x = 846,734,798,101.25/616,879.69
  6. Step 6: Final answer
    x = 1,372,609.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.