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Finding the Third Proportional to 332,970.75 and 540,978.75

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Solution

The third proportional to 332,970.75 and 540,978.75 is: 878,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,970.75 : 540,978.75 = 540,978.75 : x
  2. Step 2: Convert to fraction form
    332,970.75/540,978.75 = 540,978.75/x
  3. Step 3: Cross multiply
    332,970.75x = 540,978.75 × 540,978.75
  4. Step 4: Simplify right side
    332,970.75x = 292,658,007,951.56
  5. Step 5: Solve for x
    x = 292,658,007,951.56/332,970.75
  6. Step 6: Final answer
    x = 878,930.08

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.