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Finding the Third Proportional to 511,302 and 800,325.50

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Solution

The third proportional to 511,302 and 800,325.50 is: 1,252,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,302 : 800,325.50 = 800,325.50 : x
  2. Step 2: Convert to fraction form
    511,302/800,325.50 = 800,325.50/x
  3. Step 3: Cross multiply
    511,302x = 800,325.50 × 800,325.50
  4. Step 4: Simplify right side
    511,302x = 640,520,905,950.25
  5. Step 5: Solve for x
    x = 640,520,905,950.25/511,302
  6. Step 6: Final answer
    x = 1,252,725.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.