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Finding the Third Proportional to 302,021 and 453,006

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Solution

The third proportional to 302,021 and 453,006 is: 679,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,021 : 453,006 = 453,006 : x
  2. Step 2: Convert to fraction form
    302,021/453,006 = 453,006/x
  3. Step 3: Cross multiply
    302,021x = 453,006 × 453,006
  4. Step 4: Simplify right side
    302,021x = 205,214,436,036
  5. Step 5: Solve for x
    x = 205,214,436,036/302,021
  6. Step 6: Final answer
    x = 679,470.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.