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Finding the Third Proportional to 493,492 and 743,886

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Solution

The third proportional to 493,492 and 743,886 is: 1,121,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,492 : 743,886 = 743,886 : x
  2. Step 2: Convert to fraction form
    493,492/743,886 = 743,886/x
  3. Step 3: Cross multiply
    493,492x = 743,886 × 743,886
  4. Step 4: Simplify right side
    493,492x = 553,366,380,996
  5. Step 5: Solve for x
    x = 553,366,380,996/493,492
  6. Step 6: Final answer
    x = 1,121,327.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.