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Finding the Third Proportional to 233,796.75 and 502,558.50

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Solution

The third proportional to 233,796.75 and 502,558.50 is: 1,080,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,796.75 : 502,558.50 = 502,558.50 : x
  2. Step 2: Convert to fraction form
    233,796.75/502,558.50 = 502,558.50/x
  3. Step 3: Cross multiply
    233,796.75x = 502,558.50 × 502,558.50
  4. Step 4: Simplify right side
    233,796.75x = 252,565,045,922.25
  5. Step 5: Solve for x
    x = 252,565,045,922.25/233,796.75
  6. Step 6: Final answer
    x = 1,080,276.12

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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.