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Finding the Third Proportional to 296,164 and 446,910

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Solution

The third proportional to 296,164 and 446,910 is: 674,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,164 : 446,910 = 446,910 : x
  2. Step 2: Convert to fraction form
    296,164/446,910 = 446,910/x
  3. Step 3: Cross multiply
    296,164x = 446,910 × 446,910
  4. Step 4: Simplify right side
    296,164x = 199,728,548,100
  5. Step 5: Solve for x
    x = 199,728,548,100/296,164
  6. Step 6: Final answer
    x = 674,384.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.