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Finding the Third Proportional to 511,084.69 and 787,949.44

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Solution

The third proportional to 511,084.69 and 787,949.44 is: 1,214,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,084.69 : 787,949.44 = 787,949.44 : x
  2. Step 2: Convert to fraction form
    511,084.69/787,949.44 = 787,949.44/x
  3. Step 3: Cross multiply
    511,084.69x = 787,949.44 × 787,949.44
  4. Step 4: Simplify right side
    511,084.69x = 620,864,316,056.57
  5. Step 5: Solve for x
    x = 620,864,316,056.57/511,084.69
  6. Step 6: Final answer
    x = 1,214,797.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.