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Finding the Third Proportional to 474,390 and 738,801

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Solution

The third proportional to 474,390 and 738,801 is: 1,150,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,390 : 738,801 = 738,801 : x
  2. Step 2: Convert to fraction form
    474,390/738,801 = 738,801/x
  3. Step 3: Cross multiply
    474,390x = 738,801 × 738,801
  4. Step 4: Simplify right side
    474,390x = 545,826,917,601
  5. Step 5: Solve for x
    x = 545,826,917,601/474,390
  6. Step 6: Final answer
    x = 1,150,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.