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Finding the Third Proportional to 280,480.50 and 600,813

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Solution

The third proportional to 280,480.50 and 600,813 is: 1,286,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,480.50 : 600,813 = 600,813 : x
  2. Step 2: Convert to fraction form
    280,480.50/600,813 = 600,813/x
  3. Step 3: Cross multiply
    280,480.50x = 600,813 × 600,813
  4. Step 4: Simplify right side
    280,480.50x = 360,976,260,969
  5. Step 5: Solve for x
    x = 360,976,260,969/280,480.50
  6. Step 6: Final answer
    x = 1,286,992.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.