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Finding the Third Proportional to 605,764 and 880,436

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Solution

The third proportional to 605,764 and 880,436 is: 1,279,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,764 : 880,436 = 880,436 : x
  2. Step 2: Convert to fraction form
    605,764/880,436 = 880,436/x
  3. Step 3: Cross multiply
    605,764x = 880,436 × 880,436
  4. Step 4: Simplify right side
    605,764x = 775,167,550,096
  5. Step 5: Solve for x
    x = 775,167,550,096/605,764
  6. Step 6: Final answer
    x = 1,279,652.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.