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Finding the Third Proportional to 295,399.69 and 644,268.38

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Solution

The third proportional to 295,399.69 and 644,268.38 is: 1,405,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,399.69 : 644,268.38 = 644,268.38 : x
  2. Step 2: Convert to fraction form
    295,399.69/644,268.38 = 644,268.38/x
  3. Step 3: Cross multiply
    295,399.69x = 644,268.38 × 644,268.38
  4. Step 4: Simplify right side
    295,399.69x = 415,081,739,025.14
  5. Step 5: Solve for x
    x = 415,081,739,025.14/295,399.69
  6. Step 6: Final answer
    x = 1,405,152.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.