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Finding the Third Proportional to 233,772.75 and 504,454.50

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Solution

The third proportional to 233,772.75 and 504,454.50 is: 1,088,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,772.75 : 504,454.50 = 504,454.50 : x
  2. Step 2: Convert to fraction form
    233,772.75/504,454.50 = 504,454.50/x
  3. Step 3: Cross multiply
    233,772.75x = 504,454.50 × 504,454.50
  4. Step 4: Simplify right side
    233,772.75x = 254,474,342,570.25
  5. Step 5: Solve for x
    x = 254,474,342,570.25/233,772.75
  6. Step 6: Final answer
    x = 1,088,554.34

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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.