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Finding the Third Proportional to 412,905 and 611,682

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Solution

The third proportional to 412,905 and 611,682 is: 906,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,905 : 611,682 = 611,682 : x
  2. Step 2: Convert to fraction form
    412,905/611,682 = 611,682/x
  3. Step 3: Cross multiply
    412,905x = 611,682 × 611,682
  4. Step 4: Simplify right side
    412,905x = 374,154,869,124
  5. Step 5: Solve for x
    x = 374,154,869,124/412,905
  6. Step 6: Final answer
    x = 906,152.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.