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Finding the Third Proportional to 230,410 and 476,804

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Solution

The third proportional to 230,410 and 476,804 is: 986,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,410 : 476,804 = 476,804 : x
  2. Step 2: Convert to fraction form
    230,410/476,804 = 476,804/x
  3. Step 3: Cross multiply
    230,410x = 476,804 × 476,804
  4. Step 4: Simplify right side
    230,410x = 227,342,054,416
  5. Step 5: Solve for x
    x = 227,342,054,416/230,410
  6. Step 6: Final answer
    x = 986,684.84

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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.