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Finding the Third Proportional to 233,995.50 and 505,354.50

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Solution

The third proportional to 233,995.50 and 505,354.50 is: 1,091,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,995.50 : 505,354.50 = 505,354.50 : x
  2. Step 2: Convert to fraction form
    233,995.50/505,354.50 = 505,354.50/x
  3. Step 3: Cross multiply
    233,995.50x = 505,354.50 × 505,354.50
  4. Step 4: Simplify right side
    233,995.50x = 255,383,170,670.25
  5. Step 5: Solve for x
    x = 255,383,170,670.25/233,995.50
  6. Step 6: Final answer
    x = 1,091,402.06

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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.