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Finding the Third Proportional to 361,344.50 and 803,477

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Solution

The third proportional to 361,344.50 and 803,477 is: 1,786,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,344.50 : 803,477 = 803,477 : x
  2. Step 2: Convert to fraction form
    361,344.50/803,477 = 803,477/x
  3. Step 3: Cross multiply
    361,344.50x = 803,477 × 803,477
  4. Step 4: Simplify right side
    361,344.50x = 645,575,289,529
  5. Step 5: Solve for x
    x = 645,575,289,529/361,344.50
  6. Step 6: Final answer
    x = 1,786,592.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.