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Finding the Third Proportional to 280,741 and 608,779

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Solution

The third proportional to 280,741 and 608,779 is: 1,320,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,741 : 608,779 = 608,779 : x
  2. Step 2: Convert to fraction form
    280,741/608,779 = 608,779/x
  3. Step 3: Cross multiply
    280,741x = 608,779 × 608,779
  4. Step 4: Simplify right side
    280,741x = 370,611,870,841
  5. Step 5: Solve for x
    x = 370,611,870,841/280,741
  6. Step 6: Final answer
    x = 1,320,120.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.