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Finding the Third Proportional to 544,765.50 and 1,265,928.75

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Solution

The third proportional to 544,765.50 and 1,265,928.75 is: 2,941,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,765.50 : 1,265,928.75 = 1,265,928.75 : x
  2. Step 2: Convert to fraction form
    544,765.50/1,265,928.75 = 1,265,928.75/x
  3. Step 3: Cross multiply
    544,765.50x = 1,265,928.75 × 1,265,928.75
  4. Step 4: Simplify right side
    544,765.50x = 1,602,575,600,076.56
  5. Step 5: Solve for x
    x = 1,602,575,600,076.56/544,765.50
  6. Step 6: Final answer
    x = 2,941,771.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.