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Finding the Third Proportional to 263,671.50 and 571,083

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Solution

The third proportional to 263,671.50 and 571,083 is: 1,236,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,671.50 : 571,083 = 571,083 : x
  2. Step 2: Convert to fraction form
    263,671.50/571,083 = 571,083/x
  3. Step 3: Cross multiply
    263,671.50x = 571,083 × 571,083
  4. Step 4: Simplify right side
    263,671.50x = 326,135,792,889
  5. Step 5: Solve for x
    x = 326,135,792,889/263,671.50
  6. Step 6: Final answer
    x = 1,236,901.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.