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Finding the Third Proportional to 277,323.75 and 414,882.56

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Solution

The third proportional to 277,323.75 and 414,882.56 is: 620,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,323.75 : 414,882.56 = 414,882.56 : x
  2. Step 2: Convert to fraction form
    277,323.75/414,882.56 = 414,882.56/x
  3. Step 3: Cross multiply
    277,323.75x = 414,882.56 × 414,882.56
  4. Step 4: Simplify right side
    277,323.75x = 172,127,540,666.57
  5. Step 5: Solve for x
    x = 172,127,540,666.57/277,323.75
  6. Step 6: Final answer
    x = 620,673.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.