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Finding the Third Proportional to 229,784 and 480,496

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Solution

The third proportional to 229,784 and 480,496 is: 1,004,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,784 : 480,496 = 480,496 : x
  2. Step 2: Convert to fraction form
    229,784/480,496 = 480,496/x
  3. Step 3: Cross multiply
    229,784x = 480,496 × 480,496
  4. Step 4: Simplify right side
    229,784x = 230,876,406,016
  5. Step 5: Solve for x
    x = 230,876,406,016/229,784
  6. Step 6: Final answer
    x = 1,004,754.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.