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Finding the Third Proportional to 375,880.50 and 782,865

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Solution

The third proportional to 375,880.50 and 782,865 is: 1,630,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,880.50 : 782,865 = 782,865 : x
  2. Step 2: Convert to fraction form
    375,880.50/782,865 = 782,865/x
  3. Step 3: Cross multiply
    375,880.50x = 782,865 × 782,865
  4. Step 4: Simplify right side
    375,880.50x = 612,877,608,225
  5. Step 5: Solve for x
    x = 612,877,608,225/375,880.50
  6. Step 6: Final answer
    x = 1,630,511.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.