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Finding the Third Proportional to 270,857.50 and 583,340

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Solution

The third proportional to 270,857.50 and 583,340 is: 1,256,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,857.50 : 583,340 = 583,340 : x
  2. Step 2: Convert to fraction form
    270,857.50/583,340 = 583,340/x
  3. Step 3: Cross multiply
    270,857.50x = 583,340 × 583,340
  4. Step 4: Simplify right side
    270,857.50x = 340,285,555,600
  5. Step 5: Solve for x
    x = 340,285,555,600/270,857.50
  6. Step 6: Final answer
    x = 1,256,326.87

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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.