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Finding the Third Proportional to 233,848 and 505,062

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Solution

The third proportional to 233,848 and 505,062 is: 1,090,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,848 : 505,062 = 505,062 : x
  2. Step 2: Convert to fraction form
    233,848/505,062 = 505,062/x
  3. Step 3: Cross multiply
    233,848x = 505,062 × 505,062
  4. Step 4: Simplify right side
    233,848x = 255,087,623,844
  5. Step 5: Solve for x
    x = 255,087,623,844/233,848
  6. Step 6: Final answer
    x = 1,090,826.62

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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.