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Finding the Third Proportional to 493,256 and 738,534

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Solution

The third proportional to 493,256 and 738,534 is: 1,105,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,256 : 738,534 = 738,534 : x
  2. Step 2: Convert to fraction form
    493,256/738,534 = 738,534/x
  3. Step 3: Cross multiply
    493,256x = 738,534 × 738,534
  4. Step 4: Simplify right side
    493,256x = 545,432,469,156
  5. Step 5: Solve for x
    x = 545,432,469,156/493,256
  6. Step 6: Final answer
    x = 1,105,779.69

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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.