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Finding the Third Proportional to 274,969.69 and 583,154.44

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Solution

The third proportional to 274,969.69 and 583,154.44 is: 1,236,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,969.69 : 583,154.44 = 583,154.44 : x
  2. Step 2: Convert to fraction form
    274,969.69/583,154.44 = 583,154.44/x
  3. Step 3: Cross multiply
    274,969.69x = 583,154.44 × 583,154.44
  4. Step 4: Simplify right side
    274,969.69x = 340,069,097,975.94
  5. Step 5: Solve for x
    x = 340,069,097,975.94/274,969.69
  6. Step 6: Final answer
    x = 1,236,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.