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Finding the Third Proportional to 274,034 and 600,436

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Solution

The third proportional to 274,034 and 600,436 is: 1,315,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,034 : 600,436 = 600,436 : x
  2. Step 2: Convert to fraction form
    274,034/600,436 = 600,436/x
  3. Step 3: Cross multiply
    274,034x = 600,436 × 600,436
  4. Step 4: Simplify right side
    274,034x = 360,523,390,096
  5. Step 5: Solve for x
    x = 360,523,390,096/274,034
  6. Step 6: Final answer
    x = 1,315,615.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.