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Finding the Third Proportional to 263,336.50 and 583,616

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Solution

The third proportional to 263,336.50 and 583,616 is: 1,293,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,336.50 : 583,616 = 583,616 : x
  2. Step 2: Convert to fraction form
    263,336.50/583,616 = 583,616/x
  3. Step 3: Cross multiply
    263,336.50x = 583,616 × 583,616
  4. Step 4: Simplify right side
    263,336.50x = 340,607,635,456
  5. Step 5: Solve for x
    x = 340,607,635,456/263,336.50
  6. Step 6: Final answer
    x = 1,293,431.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.