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Finding the Third Proportional to 230,436 and 470,020

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Solution

The third proportional to 230,436 and 470,020 is: 958,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,436 : 470,020 = 470,020 : x
  2. Step 2: Convert to fraction form
    230,436/470,020 = 470,020/x
  3. Step 3: Cross multiply
    230,436x = 470,020 × 470,020
  4. Step 4: Simplify right side
    230,436x = 220,918,800,400
  5. Step 5: Solve for x
    x = 220,918,800,400/230,436
  6. Step 6: Final answer
    x = 958,699.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.