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Finding the Third Proportional to 493,248 and 738,522

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Solution

The third proportional to 493,248 and 738,522 is: 1,105,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,248 : 738,522 = 738,522 : x
  2. Step 2: Convert to fraction form
    493,248/738,522 = 738,522/x
  3. Step 3: Cross multiply
    493,248x = 738,522 × 738,522
  4. Step 4: Simplify right side
    493,248x = 545,414,744,484
  5. Step 5: Solve for x
    x = 545,414,744,484/493,248
  6. Step 6: Final answer
    x = 1,105,761.69

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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.