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Finding the Third Proportional to 230,412 and 476,808

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Solution

The third proportional to 230,412 and 476,808 is: 986,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,412 : 476,808 = 476,808 : x
  2. Step 2: Convert to fraction form
    230,412/476,808 = 476,808/x
  3. Step 3: Cross multiply
    230,412x = 476,808 × 476,808
  4. Step 4: Simplify right side
    230,412x = 227,345,868,864
  5. Step 5: Solve for x
    x = 227,345,868,864/230,412
  6. Step 6: Final answer
    x = 986,692.83

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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.