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Finding the Third Proportional to 339,984 and 460,050.75

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Solution

The third proportional to 339,984 and 460,050.75 is: 622,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,984 : 460,050.75 = 460,050.75 : x
  2. Step 2: Convert to fraction form
    339,984/460,050.75 = 460,050.75/x
  3. Step 3: Cross multiply
    339,984x = 460,050.75 × 460,050.75
  4. Step 4: Simplify right side
    339,984x = 211,646,692,575.56
  5. Step 5: Solve for x
    x = 211,646,692,575.56/339,984
  6. Step 6: Final answer
    x = 622,519.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.