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Finding the Third Proportional to 581,076.50 and 1,265,077

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Solution

The third proportional to 581,076.50 and 1,265,077 is: 2,754,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,076.50 : 1,265,077 = 1,265,077 : x
  2. Step 2: Convert to fraction form
    581,076.50/1,265,077 = 1,265,077/x
  3. Step 3: Cross multiply
    581,076.50x = 1,265,077 × 1,265,077
  4. Step 4: Simplify right side
    581,076.50x = 1,600,419,815,929
  5. Step 5: Solve for x
    x = 1,600,419,815,929/581,076.50
  6. Step 6: Final answer
    x = 2,754,232.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.