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Finding the Third Proportional to 515,515.50 and 774,243

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Solution

The third proportional to 515,515.50 and 774,243 is: 1,162,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,515.50 : 774,243 = 774,243 : x
  2. Step 2: Convert to fraction form
    515,515.50/774,243 = 774,243/x
  3. Step 3: Cross multiply
    515,515.50x = 774,243 × 774,243
  4. Step 4: Simplify right side
    515,515.50x = 599,452,223,049
  5. Step 5: Solve for x
    x = 599,452,223,049/515,515.50
  6. Step 6: Final answer
    x = 1,162,820.95

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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.