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Finding the Third Proportional to 301,044.50 and 663,523

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Solution

The third proportional to 301,044.50 and 663,523 is: 1,462,450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,044.50 : 663,523 = 663,523 : x
  2. Step 2: Convert to fraction form
    301,044.50/663,523 = 663,523/x
  3. Step 3: Cross multiply
    301,044.50x = 663,523 × 663,523
  4. Step 4: Simplify right side
    301,044.50x = 440,262,771,529
  5. Step 5: Solve for x
    x = 440,262,771,529/301,044.50
  6. Step 6: Final answer
    x = 1,462,450.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.