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Finding the Third Proportional to 367,051 and 493,984

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Solution

The third proportional to 367,051 and 493,984 is: 664,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,051 : 493,984 = 493,984 : x
  2. Step 2: Convert to fraction form
    367,051/493,984 = 493,984/x
  3. Step 3: Cross multiply
    367,051x = 493,984 × 493,984
  4. Step 4: Simplify right side
    367,051x = 244,020,192,256
  5. Step 5: Solve for x
    x = 244,020,192,256/367,051
  6. Step 6: Final answer
    x = 664,812.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.