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Finding the Third Proportional to 434,630 and 664,866

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Solution

The third proportional to 434,630 and 664,866 is: 1,017,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,630 : 664,866 = 664,866 : x
  2. Step 2: Convert to fraction form
    434,630/664,866 = 664,866/x
  3. Step 3: Cross multiply
    434,630x = 664,866 × 664,866
  4. Step 4: Simplify right side
    434,630x = 442,046,797,956
  5. Step 5: Solve for x
    x = 442,046,797,956/434,630
  6. Step 6: Final answer
    x = 1,017,064.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.