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Finding the Third Proportional to 446,739 and 656,985

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Solution

The third proportional to 446,739 and 656,985 is: 966,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,739 : 656,985 = 656,985 : x
  2. Step 2: Convert to fraction form
    446,739/656,985 = 656,985/x
  3. Step 3: Cross multiply
    446,739x = 656,985 × 656,985
  4. Step 4: Simplify right side
    446,739x = 431,629,290,225
  5. Step 5: Solve for x
    x = 431,629,290,225/446,739
  6. Step 6: Final answer
    x = 966,177.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.