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Finding the Third Proportional to 270,846.28 and 583,313.91

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Solution

The third proportional to 270,846.28 and 583,313.91 is: 1,256,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,846.28 : 583,313.91 = 583,313.91 : x
  2. Step 2: Convert to fraction form
    270,846.28/583,313.91 = 583,313.91/x
  3. Step 3: Cross multiply
    270,846.28x = 583,313.91 × 583,313.91
  4. Step 4: Simplify right side
    270,846.28x = 340,255,113,224.63
  5. Step 5: Solve for x
    x = 340,255,113,224.63/270,846.28
  6. Step 6: Final answer
    x = 1,256,266.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.