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Finding the Third Proportional to 443,453 and 684,861

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Solution

The third proportional to 443,453 and 684,861 is: 1,057,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,453 : 684,861 = 684,861 : x
  2. Step 2: Convert to fraction form
    443,453/684,861 = 684,861/x
  3. Step 3: Cross multiply
    443,453x = 684,861 × 684,861
  4. Step 4: Simplify right side
    443,453x = 469,034,589,321
  5. Step 5: Solve for x
    x = 469,034,589,321/443,453
  6. Step 6: Final answer
    x = 1,057,687.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.