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Finding the Third Proportional to 282,467.25 and 584,485.88

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Solution

The third proportional to 282,467.25 and 584,485.88 is: 1,209,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,467.25 : 584,485.88 = 584,485.88 : x
  2. Step 2: Convert to fraction form
    282,467.25/584,485.88 = 584,485.88/x
  3. Step 3: Cross multiply
    282,467.25x = 584,485.88 × 584,485.88
  4. Step 4: Simplify right side
    282,467.25x = 341,623,738,074.52
  5. Step 5: Solve for x
    x = 341,623,738,074.52/282,467.25
  6. Step 6: Final answer
    x = 1,209,427.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.