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Finding the Third Proportional to 235,104 and 505,564

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Solution

The third proportional to 235,104 and 505,564 is: 1,087,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,104 : 505,564 = 505,564 : x
  2. Step 2: Convert to fraction form
    235,104/505,564 = 505,564/x
  3. Step 3: Cross multiply
    235,104x = 505,564 × 505,564
  4. Step 4: Simplify right side
    235,104x = 255,594,958,096
  5. Step 5: Solve for x
    x = 255,594,958,096/235,104
  6. Step 6: Final answer
    x = 1,087,156.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.