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Finding the Third Proportional to 493,307 and 737,979

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Solution

The third proportional to 493,307 and 737,979 is: 1,104,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,307 : 737,979 = 737,979 : x
  2. Step 2: Convert to fraction form
    493,307/737,979 = 737,979/x
  3. Step 3: Cross multiply
    493,307x = 737,979 × 737,979
  4. Step 4: Simplify right side
    493,307x = 544,613,004,441
  5. Step 5: Solve for x
    x = 544,613,004,441/493,307
  6. Step 6: Final answer
    x = 1,104,004.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.