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Finding the Third Proportional to 465,446 and 723,679

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Solution

The third proportional to 465,446 and 723,679 is: 1,125,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,446 : 723,679 = 723,679 : x
  2. Step 2: Convert to fraction form
    465,446/723,679 = 723,679/x
  3. Step 3: Cross multiply
    465,446x = 723,679 × 723,679
  4. Step 4: Simplify right side
    465,446x = 523,711,295,041
  5. Step 5: Solve for x
    x = 523,711,295,041/465,446
  6. Step 6: Final answer
    x = 1,125,181.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.