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Finding the Third Proportional to 226,680 and 469,740

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Solution

The third proportional to 226,680 and 469,740 is: 973,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,680 : 469,740 = 469,740 : x
  2. Step 2: Convert to fraction form
    226,680/469,740 = 469,740/x
  3. Step 3: Cross multiply
    226,680x = 469,740 × 469,740
  4. Step 4: Simplify right side
    226,680x = 220,655,667,600
  5. Step 5: Solve for x
    x = 220,655,667,600/226,680
  6. Step 6: Final answer
    x = 973,423.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.