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Finding the Third Proportional to 263,241 and 384,989.50

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Solution

The third proportional to 263,241 and 384,989.50 is: 563,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,241 : 384,989.50 = 384,989.50 : x
  2. Step 2: Convert to fraction form
    263,241/384,989.50 = 384,989.50/x
  3. Step 3: Cross multiply
    263,241x = 384,989.50 × 384,989.50
  4. Step 4: Simplify right side
    263,241x = 148,216,915,110.25
  5. Step 5: Solve for x
    x = 148,216,915,110.25/263,241
  6. Step 6: Final answer
    x = 563,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.