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Finding the Third Proportional to 532,077.75 and 764,901

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Solution

The third proportional to 532,077.75 and 764,901 is: 1,099,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,077.75 : 764,901 = 764,901 : x
  2. Step 2: Convert to fraction form
    532,077.75/764,901 = 764,901/x
  3. Step 3: Cross multiply
    532,077.75x = 764,901 × 764,901
  4. Step 4: Simplify right side
    532,077.75x = 585,073,539,801
  5. Step 5: Solve for x
    x = 585,073,539,801/532,077.75
  6. Step 6: Final answer
    x = 1,099,601.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.