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Finding the Third Proportional to 273,407 and 600,586

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Solution

The third proportional to 273,407 and 600,586 is: 1,319,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,407 : 600,586 = 600,586 : x
  2. Step 2: Convert to fraction form
    273,407/600,586 = 600,586/x
  3. Step 3: Cross multiply
    273,407x = 600,586 × 600,586
  4. Step 4: Simplify right side
    273,407x = 360,703,543,396
  5. Step 5: Solve for x
    x = 360,703,543,396/273,407
  6. Step 6: Final answer
    x = 1,319,291.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.