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Finding the Third Proportional to 665,527 and 997,965

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Solution

The third proportional to 665,527 and 997,965 is: 1,496,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,527 : 997,965 = 997,965 : x
  2. Step 2: Convert to fraction form
    665,527/997,965 = 997,965/x
  3. Step 3: Cross multiply
    665,527x = 997,965 × 997,965
  4. Step 4: Simplify right side
    665,527x = 995,934,141,225
  5. Step 5: Solve for x
    x = 995,934,141,225/665,527
  6. Step 6: Final answer
    x = 1,496,459.41

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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.