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Finding the Third Proportional to 277,808.06 and 414,883.69

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Solution

The third proportional to 277,808.06 and 414,883.69 is: 619,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,808.06 : 414,883.69 = 414,883.69 : x
  2. Step 2: Convert to fraction form
    277,808.06/414,883.69 = 414,883.69/x
  3. Step 3: Cross multiply
    277,808.06x = 414,883.69 × 414,883.69
  4. Step 4: Simplify right side
    277,808.06x = 172,128,474,153.60
  5. Step 5: Solve for x
    x = 172,128,474,153.60/277,808.06
  6. Step 6: Final answer
    x = 619,594.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.