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Finding the Third Proportional to 275,719.50 and 597,242

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Solution

The third proportional to 275,719.50 and 597,242 is: 1,293,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,719.50 : 597,242 = 597,242 : x
  2. Step 2: Convert to fraction form
    275,719.50/597,242 = 597,242/x
  3. Step 3: Cross multiply
    275,719.50x = 597,242 × 597,242
  4. Step 4: Simplify right side
    275,719.50x = 356,698,006,564
  5. Step 5: Solve for x
    x = 356,698,006,564/275,719.50
  6. Step 6: Final answer
    x = 1,293,698.87

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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.