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Finding the Third Proportional to 277,027.50 and 597,795

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Solution

The third proportional to 277,027.50 and 597,795 is: 1,289,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,027.50 : 597,795 = 597,795 : x
  2. Step 2: Convert to fraction form
    277,027.50/597,795 = 597,795/x
  3. Step 3: Cross multiply
    277,027.50x = 597,795 × 597,795
  4. Step 4: Simplify right side
    277,027.50x = 357,358,862,025
  5. Step 5: Solve for x
    x = 357,358,862,025/277,027.50
  6. Step 6: Final answer
    x = 1,289,976.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.