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Finding the Third Proportional to 597,873 and 996,455

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Solution

The third proportional to 597,873 and 996,455 is: 1,660,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,873 : 996,455 = 996,455 : x
  2. Step 2: Convert to fraction form
    597,873/996,455 = 996,455/x
  3. Step 3: Cross multiply
    597,873x = 996,455 × 996,455
  4. Step 4: Simplify right side
    597,873x = 992,922,567,025
  5. Step 5: Solve for x
    x = 992,922,567,025/597,873
  6. Step 6: Final answer
    x = 1,660,758.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.