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Finding the Third Proportional to 493,608 and 746,484

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Solution

The third proportional to 493,608 and 746,484 is: 1,128,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,608 : 746,484 = 746,484 : x
  2. Step 2: Convert to fraction form
    493,608/746,484 = 746,484/x
  3. Step 3: Cross multiply
    493,608x = 746,484 × 746,484
  4. Step 4: Simplify right side
    493,608x = 557,238,362,256
  5. Step 5: Solve for x
    x = 557,238,362,256/493,608
  6. Step 6: Final answer
    x = 1,128,908.69

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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.