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Finding the Third Proportional to 665,525 and 997,962

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Solution

The third proportional to 665,525 and 997,962 is: 1,496,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,525 : 997,962 = 997,962 : x
  2. Step 2: Convert to fraction form
    665,525/997,962 = 997,962/x
  3. Step 3: Cross multiply
    665,525x = 997,962 × 997,962
  4. Step 4: Simplify right side
    665,525x = 995,928,153,444
  5. Step 5: Solve for x
    x = 995,928,153,444/665,525
  6. Step 6: Final answer
    x = 1,496,454.91

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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.