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Finding the Third Proportional to 233,905 and 505,144

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Solution

The third proportional to 233,905 and 505,144 is: 1,090,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,905 : 505,144 = 505,144 : x
  2. Step 2: Convert to fraction form
    233,905/505,144 = 505,144/x
  3. Step 3: Cross multiply
    233,905x = 505,144 × 505,144
  4. Step 4: Simplify right side
    233,905x = 255,170,460,736
  5. Step 5: Solve for x
    x = 255,170,460,736/233,905
  6. Step 6: Final answer
    x = 1,090,914.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.