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Finding the Third Proportional to 296,076 and 449,652

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Solution

The third proportional to 296,076 and 449,652 is: 682,888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,076 : 449,652 = 449,652 : x
  2. Step 2: Convert to fraction form
    296,076/449,652 = 449,652/x
  3. Step 3: Cross multiply
    296,076x = 449,652 × 449,652
  4. Step 4: Simplify right side
    296,076x = 202,186,921,104
  5. Step 5: Solve for x
    x = 202,186,921,104/296,076
  6. Step 6: Final answer
    x = 682,888.59

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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.