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Finding the Third Proportional to 277,029.75 and 606,606.75

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Solution

The third proportional to 277,029.75 and 606,606.75 is: 1,328,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029.75 : 606,606.75 = 606,606.75 : x
  2. Step 2: Convert to fraction form
    277,029.75/606,606.75 = 606,606.75/x
  3. Step 3: Cross multiply
    277,029.75x = 606,606.75 × 606,606.75
  4. Step 4: Simplify right side
    277,029.75x = 367,971,749,145.56
  5. Step 5: Solve for x
    x = 367,971,749,145.56/277,029.75
  6. Step 6: Final answer
    x = 1,328,275.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.