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Finding the Third Proportional to 270,599.25 and 584,559.75

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Solution

The third proportional to 270,599.25 and 584,559.75 is: 1,262,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,599.25 : 584,559.75 = 584,559.75 : x
  2. Step 2: Convert to fraction form
    270,599.25/584,559.75 = 584,559.75/x
  3. Step 3: Cross multiply
    270,599.25x = 584,559.75 × 584,559.75
  4. Step 4: Simplify right side
    270,599.25x = 341,710,101,320.06
  5. Step 5: Solve for x
    x = 341,710,101,320.06/270,599.25
  6. Step 6: Final answer
    x = 1,262,790.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.