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Finding the Third Proportional to 274,651.59 and 601,668.28

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Solution

The third proportional to 274,651.59 and 601,668.28 is: 1,318,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,651.59 : 601,668.28 = 601,668.28 : x
  2. Step 2: Convert to fraction form
    274,651.59/601,668.28 = 601,668.28/x
  3. Step 3: Cross multiply
    274,651.59x = 601,668.28 × 601,668.28
  4. Step 4: Simplify right side
    274,651.59x = 362,004,720,662.33
  5. Step 5: Solve for x
    x = 362,004,720,662.33/274,651.59
  6. Step 6: Final answer
    x = 1,318,050.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.