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Finding the Third Proportional to 277,810.31 and 414,887.06

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Solution

The third proportional to 277,810.31 and 414,887.06 is: 619,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,810.31 : 414,887.06 = 414,887.06 : x
  2. Step 2: Convert to fraction form
    277,810.31/414,887.06 = 414,887.06/x
  3. Step 3: Cross multiply
    277,810.31x = 414,887.06 × 414,887.06
  4. Step 4: Simplify right side
    277,810.31x = 172,131,274,629.88
  5. Step 5: Solve for x
    x = 172,131,274,629.88/277,810.31
  6. Step 6: Final answer
    x = 619,600.02

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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.