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Finding the Third Proportional to 233,313.75 and 490,124.25

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Solution

The third proportional to 233,313.75 and 490,124.25 is: 1,029,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 490,124.25 = 490,124.25 : x
  2. Step 2: Convert to fraction form
    233,313.75/490,124.25 = 490,124.25/x
  3. Step 3: Cross multiply
    233,313.75x = 490,124.25 × 490,124.25
  4. Step 4: Simplify right side
    233,313.75x = 240,221,780,438.06
  5. Step 5: Solve for x
    x = 240,221,780,438.06/233,313.75
  6. Step 6: Final answer
    x = 1,029,608.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.