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Finding the Third Proportional to 493,758 and 737,397

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Solution

The third proportional to 493,758 and 737,397 is: 1,101,256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,758 : 737,397 = 737,397 : x
  2. Step 2: Convert to fraction form
    493,758/737,397 = 737,397/x
  3. Step 3: Cross multiply
    493,758x = 737,397 × 737,397
  4. Step 4: Simplify right side
    493,758x = 543,754,335,609
  5. Step 5: Solve for x
    x = 543,754,335,609/493,758
  6. Step 6: Final answer
    x = 1,101,256.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.