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Finding the Third Proportional to 384,749 and 574,969

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Solution

The third proportional to 384,749 and 574,969 is: 859,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,749 : 574,969 = 574,969 : x
  2. Step 2: Convert to fraction form
    384,749/574,969 = 574,969/x
  3. Step 3: Cross multiply
    384,749x = 574,969 × 574,969
  4. Step 4: Simplify right side
    384,749x = 330,589,350,961
  5. Step 5: Solve for x
    x = 330,589,350,961/384,749
  6. Step 6: Final answer
    x = 859,233.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.