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Finding the Third Proportional to 252,975 and 384,643

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Solution

The third proportional to 252,975 and 384,643 is: 584,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,975 : 384,643 = 384,643 : x
  2. Step 2: Convert to fraction form
    252,975/384,643 = 384,643/x
  3. Step 3: Cross multiply
    252,975x = 384,643 × 384,643
  4. Step 4: Simplify right side
    252,975x = 147,950,237,449
  5. Step 5: Solve for x
    x = 147,950,237,449/252,975
  6. Step 6: Final answer
    x = 584,841.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.