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Finding the Third Proportional to 512,103 and 775,228.50

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Solution

The third proportional to 512,103 and 775,228.50 is: 1,173,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,103 : 775,228.50 = 775,228.50 : x
  2. Step 2: Convert to fraction form
    512,103/775,228.50 = 775,228.50/x
  3. Step 3: Cross multiply
    512,103x = 775,228.50 × 775,228.50
  4. Step 4: Simplify right side
    512,103x = 600,979,227,212.25
  5. Step 5: Solve for x
    x = 600,979,227,212.25/512,103
  6. Step 6: Final answer
    x = 1,173,551.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.