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Finding the Third Proportional to 213,004 and 454,488

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Solution

The third proportional to 213,004 and 454,488 is: 969,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,004 : 454,488 = 454,488 : x
  2. Step 2: Convert to fraction form
    213,004/454,488 = 454,488/x
  3. Step 3: Cross multiply
    213,004x = 454,488 × 454,488
  4. Step 4: Simplify right side
    213,004x = 206,559,342,144
  5. Step 5: Solve for x
    x = 206,559,342,144/213,004
  6. Step 6: Final answer
    x = 969,743.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.