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Finding the Third Proportional to 241,731.50 and 512,277

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Solution

The third proportional to 241,731.50 and 512,277 is: 1,085,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,731.50 : 512,277 = 512,277 : x
  2. Step 2: Convert to fraction form
    241,731.50/512,277 = 512,277/x
  3. Step 3: Cross multiply
    241,731.50x = 512,277 × 512,277
  4. Step 4: Simplify right side
    241,731.50x = 262,427,724,729
  5. Step 5: Solve for x
    x = 262,427,724,729/241,731.50
  6. Step 6: Final answer
    x = 1,085,616.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.