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Finding the Third Proportional to 493,407 and 738,099

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Solution

The third proportional to 493,407 and 738,099 is: 1,104,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,407 : 738,099 = 738,099 : x
  2. Step 2: Convert to fraction form
    493,407/738,099 = 738,099/x
  3. Step 3: Cross multiply
    493,407x = 738,099 × 738,099
  4. Step 4: Simplify right side
    493,407x = 544,790,133,801
  5. Step 5: Solve for x
    x = 544,790,133,801/493,407
  6. Step 6: Final answer
    x = 1,104,139.45

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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.