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Finding the Third Proportional to 465,096 and 697,644

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Solution

The third proportional to 465,096 and 697,644 is: 1,046,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,096 : 697,644 = 697,644 : x
  2. Step 2: Convert to fraction form
    465,096/697,644 = 697,644/x
  3. Step 3: Cross multiply
    465,096x = 697,644 × 697,644
  4. Step 4: Simplify right side
    465,096x = 486,707,150,736
  5. Step 5: Solve for x
    x = 486,707,150,736/465,096
  6. Step 6: Final answer
    x = 1,046,466

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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.