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Finding the Third Proportional to 296,077.50 and 449,655

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Solution

The third proportional to 296,077.50 and 449,655 is: 682,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,077.50 : 449,655 = 449,655 : x
  2. Step 2: Convert to fraction form
    296,077.50/449,655 = 449,655/x
  3. Step 3: Cross multiply
    296,077.50x = 449,655 × 449,655
  4. Step 4: Simplify right side
    296,077.50x = 202,189,619,025
  5. Step 5: Solve for x
    x = 202,189,619,025/296,077.50
  6. Step 6: Final answer
    x = 682,894.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.