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Finding the Third Proportional to 453,805.50 and 603,753

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Solution

The third proportional to 453,805.50 and 603,753 is: 803,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,805.50 : 603,753 = 603,753 : x
  2. Step 2: Convert to fraction form
    453,805.50/603,753 = 603,753/x
  3. Step 3: Cross multiply
    453,805.50x = 603,753 × 603,753
  4. Step 4: Simplify right side
    453,805.50x = 364,517,685,009
  5. Step 5: Solve for x
    x = 364,517,685,009/453,805.50
  6. Step 6: Final answer
    x = 803,246.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.