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Finding the Third Proportional to 277,931.81 and 606,047.44

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Solution

The third proportional to 277,931.81 and 606,047.44 is: 1,321,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,931.81 : 606,047.44 = 606,047.44 : x
  2. Step 2: Convert to fraction form
    277,931.81/606,047.44 = 606,047.44/x
  3. Step 3: Cross multiply
    277,931.81x = 606,047.44 × 606,047.44
  4. Step 4: Simplify right side
    277,931.81x = 367,293,496,500.32
  5. Step 5: Solve for x
    x = 367,293,496,500.32/277,931.81
  6. Step 6: Final answer
    x = 1,321,523.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.