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Finding the Third Proportional to 407,236 and 654,630

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Solution

The third proportional to 407,236 and 654,630 is: 1,052,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,236 : 654,630 = 654,630 : x
  2. Step 2: Convert to fraction form
    407,236/654,630 = 654,630/x
  3. Step 3: Cross multiply
    407,236x = 654,630 × 654,630
  4. Step 4: Simplify right side
    407,236x = 428,540,436,900
  5. Step 5: Solve for x
    x = 428,540,436,900/407,236
  6. Step 6: Final answer
    x = 1,052,314.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.