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Finding the Third Proportional to 446,931 and 661,704.75

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Solution

The third proportional to 446,931 and 661,704.75 is: 979,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,931 : 661,704.75 = 661,704.75 : x
  2. Step 2: Convert to fraction form
    446,931/661,704.75 = 661,704.75/x
  3. Step 3: Cross multiply
    446,931x = 661,704.75 × 661,704.75
  4. Step 4: Simplify right side
    446,931x = 437,853,176,172.56
  5. Step 5: Solve for x
    x = 437,853,176,172.56/446,931
  6. Step 6: Final answer
    x = 979,688.53

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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.