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Finding the Third Proportional to 445,066 and 683,151

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Solution

The third proportional to 445,066 and 683,151 is: 1,048,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,066 : 683,151 = 683,151 : x
  2. Step 2: Convert to fraction form
    445,066/683,151 = 683,151/x
  3. Step 3: Cross multiply
    445,066x = 683,151 × 683,151
  4. Step 4: Simplify right side
    445,066x = 466,695,288,801
  5. Step 5: Solve for x
    x = 466,695,288,801/445,066
  6. Step 6: Final answer
    x = 1,048,597.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.