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Finding the Third Proportional to 264,818 and 605,021

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Solution

The third proportional to 264,818 and 605,021 is: 1,382,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,818 : 605,021 = 605,021 : x
  2. Step 2: Convert to fraction form
    264,818/605,021 = 605,021/x
  3. Step 3: Cross multiply
    264,818x = 605,021 × 605,021
  4. Step 4: Simplify right side
    264,818x = 366,050,410,441
  5. Step 5: Solve for x
    x = 366,050,410,441/264,818
  6. Step 6: Final answer
    x = 1,382,271.64

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.