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Finding the Third Proportional to 255,255.75 and 536,634

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Solution

The third proportional to 255,255.75 and 536,634 is: 1,128,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,255.75 : 536,634 = 536,634 : x
  2. Step 2: Convert to fraction form
    255,255.75/536,634 = 536,634/x
  3. Step 3: Cross multiply
    255,255.75x = 536,634 × 536,634
  4. Step 4: Simplify right side
    255,255.75x = 287,976,049,956
  5. Step 5: Solve for x
    x = 287,976,049,956/255,255.75
  6. Step 6: Final answer
    x = 1,128,186.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.