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Finding the Third Proportional to 665,512 and 997,944

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Solution

The third proportional to 665,512 and 997,944 is: 1,496,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,512 : 997,944 = 997,944 : x
  2. Step 2: Convert to fraction form
    665,512/997,944 = 997,944/x
  3. Step 3: Cross multiply
    665,512x = 997,944 × 997,944
  4. Step 4: Simplify right side
    665,512x = 995,892,227,136
  5. Step 5: Solve for x
    x = 995,892,227,136/665,512
  6. Step 6: Final answer
    x = 1,496,430.16

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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.