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Finding the Third Proportional to 434,124 and 670,868

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Solution

The third proportional to 434,124 and 670,868 is: 1,036,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,124 : 670,868 = 670,868 : x
  2. Step 2: Convert to fraction form
    434,124/670,868 = 670,868/x
  3. Step 3: Cross multiply
    434,124x = 670,868 × 670,868
  4. Step 4: Simplify right side
    434,124x = 450,063,873,424
  5. Step 5: Solve for x
    x = 450,063,873,424/434,124
  6. Step 6: Final answer
    x = 1,036,717.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.