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Finding the Third Proportional to 241,390.50 and 513,966

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Solution

The third proportional to 241,390.50 and 513,966 is: 1,094,330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,390.50 : 513,966 = 513,966 : x
  2. Step 2: Convert to fraction form
    241,390.50/513,966 = 513,966/x
  3. Step 3: Cross multiply
    241,390.50x = 513,966 × 513,966
  4. Step 4: Simplify right side
    241,390.50x = 264,161,049,156
  5. Step 5: Solve for x
    x = 264,161,049,156/241,390.50
  6. Step 6: Final answer
    x = 1,094,330.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.