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Finding the Third Proportional to 493,436 and 655,994

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Solution

The third proportional to 493,436 and 655,994 is: 872,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,436 : 655,994 = 655,994 : x
  2. Step 2: Convert to fraction form
    493,436/655,994 = 655,994/x
  3. Step 3: Cross multiply
    493,436x = 655,994 × 655,994
  4. Step 4: Simplify right side
    493,436x = 430,328,128,036
  5. Step 5: Solve for x
    x = 430,328,128,036/493,436
  6. Step 6: Final answer
    x = 872,105.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.