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Finding the Third Proportional to 277,818.75 and 428,271.75

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Solution

The third proportional to 277,818.75 and 428,271.75 is: 660,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,818.75 : 428,271.75 = 428,271.75 : x
  2. Step 2: Convert to fraction form
    277,818.75/428,271.75 = 428,271.75/x
  3. Step 3: Cross multiply
    277,818.75x = 428,271.75 × 428,271.75
  4. Step 4: Simplify right side
    277,818.75x = 183,416,691,848.06
  5. Step 5: Solve for x
    x = 183,416,691,848.06/277,818.75
  6. Step 6: Final answer
    x = 660,202.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.