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Finding the Third Proportional to 265,453 and 583,393

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Solution

The third proportional to 265,453 and 583,393 is: 1,282,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,453 : 583,393 = 583,393 : x
  2. Step 2: Convert to fraction form
    265,453/583,393 = 583,393/x
  3. Step 3: Cross multiply
    265,453x = 583,393 × 583,393
  4. Step 4: Simplify right side
    265,453x = 340,347,392,449
  5. Step 5: Solve for x
    x = 340,347,392,449/265,453
  6. Step 6: Final answer
    x = 1,282,138.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.