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Finding the Third Proportional to 277,735.75 and 414,783.63

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Solution

The third proportional to 277,735.75 and 414,783.63 is: 619,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,735.75 : 414,783.63 = 414,783.63 : x
  2. Step 2: Convert to fraction form
    277,735.75/414,783.63 = 414,783.63/x
  3. Step 3: Cross multiply
    277,735.75x = 414,783.63 × 414,783.63
  4. Step 4: Simplify right side
    277,735.75x = 172,045,455,568.14
  5. Step 5: Solve for x
    x = 172,045,455,568.14/277,735.75
  6. Step 6: Final answer
    x = 619,457.36

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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.