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Finding the Third Proportional to 525,816.56 and 787,833.84

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Solution

The third proportional to 525,816.56 and 787,833.84 is: 1,180,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,816.56 : 787,833.84 = 787,833.84 : x
  2. Step 2: Convert to fraction form
    525,816.56/787,833.84 = 787,833.84/x
  3. Step 3: Cross multiply
    525,816.56x = 787,833.84 × 787,833.84
  4. Step 4: Simplify right side
    525,816.56x = 620,682,165,357.90
  5. Step 5: Solve for x
    x = 620,682,165,357.90/525,816.56
  6. Step 6: Final answer
    x = 1,180,415.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.