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Finding the Third Proportional to 393,511.50 and 847,233

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Solution

The third proportional to 393,511.50 and 847,233 is: 1,824,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,511.50 : 847,233 = 847,233 : x
  2. Step 2: Convert to fraction form
    393,511.50/847,233 = 847,233/x
  3. Step 3: Cross multiply
    393,511.50x = 847,233 × 847,233
  4. Step 4: Simplify right side
    393,511.50x = 717,803,756,289
  5. Step 5: Solve for x
    x = 717,803,756,289/393,511.50
  6. Step 6: Final answer
    x = 1,824,098.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.