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Finding the Third Proportional to 219,630 and 482,028

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Solution

The third proportional to 219,630 and 482,028 is: 1,057,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,630 : 482,028 = 482,028 : x
  2. Step 2: Convert to fraction form
    219,630/482,028 = 482,028/x
  3. Step 3: Cross multiply
    219,630x = 482,028 × 482,028
  4. Step 4: Simplify right side
    219,630x = 232,350,992,784
  5. Step 5: Solve for x
    x = 232,350,992,784/219,630
  6. Step 6: Final answer
    x = 1,057,920.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.