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Finding the Third Proportional to 302,305.50 and 451,878.50

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Solution

The third proportional to 302,305.50 and 451,878.50 is: 675,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,305.50 : 451,878.50 = 451,878.50 : x
  2. Step 2: Convert to fraction form
    302,305.50/451,878.50 = 451,878.50/x
  3. Step 3: Cross multiply
    302,305.50x = 451,878.50 × 451,878.50
  4. Step 4: Simplify right side
    302,305.50x = 204,194,178,762.25
  5. Step 5: Solve for x
    x = 204,194,178,762.25/302,305.50
  6. Step 6: Final answer
    x = 675,456.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.