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Finding the Third Proportional to 446,848 and 661,592

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Solution

The third proportional to 446,848 and 661,592 is: 979,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,848 : 661,592 = 661,592 : x
  2. Step 2: Convert to fraction form
    446,848/661,592 = 661,592/x
  3. Step 3: Cross multiply
    446,848x = 661,592 × 661,592
  4. Step 4: Simplify right side
    446,848x = 437,703,974,464
  5. Step 5: Solve for x
    x = 437,703,974,464/446,848
  6. Step 6: Final answer
    x = 979,536.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.