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Finding the Third Proportional to 368,811 and 569,589.75

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Solution

The third proportional to 368,811 and 569,589.75 is: 879,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,811 : 569,589.75 = 569,589.75 : x
  2. Step 2: Convert to fraction form
    368,811/569,589.75 = 569,589.75/x
  3. Step 3: Cross multiply
    368,811x = 569,589.75 × 569,589.75
  4. Step 4: Simplify right side
    368,811x = 324,432,483,305.06
  5. Step 5: Solve for x
    x = 324,432,483,305.06/368,811
  6. Step 6: Final answer
    x = 879,671.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.