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Finding the Third Proportional to 272,453.63 and 741,190.50

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Solution

The third proportional to 272,453.63 and 741,190.50 is: 2,016,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,453.63 : 741,190.50 = 741,190.50 : x
  2. Step 2: Convert to fraction form
    272,453.63/741,190.50 = 741,190.50/x
  3. Step 3: Cross multiply
    272,453.63x = 741,190.50 × 741,190.50
  4. Step 4: Simplify right side
    272,453.63x = 549,363,357,290.25
  5. Step 5: Solve for x
    x = 549,363,357,290.25/272,453.63
  6. Step 6: Final answer
    x = 2,016,355.47

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.