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Finding the Third Proportional to 665,519 and 997,953

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Solution

The third proportional to 665,519 and 997,953 is: 1,496,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,519 : 997,953 = 997,953 : x
  2. Step 2: Convert to fraction form
    665,519/997,953 = 997,953/x
  3. Step 3: Cross multiply
    665,519x = 997,953 × 997,953
  4. Step 4: Simplify right side
    665,519x = 995,910,190,209
  5. Step 5: Solve for x
    x = 995,910,190,209/665,519
  6. Step 6: Final answer
    x = 1,496,441.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.