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Finding the Third Proportional to 229,716 and 479,088

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Solution

The third proportional to 229,716 and 479,088 is: 999,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716 : 479,088 = 479,088 : x
  2. Step 2: Convert to fraction form
    229,716/479,088 = 479,088/x
  3. Step 3: Cross multiply
    229,716x = 479,088 × 479,088
  4. Step 4: Simplify right side
    229,716x = 229,525,311,744
  5. Step 5: Solve for x
    x = 229,525,311,744/229,716
  6. Step 6: Final answer
    x = 999,169.90

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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.