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Finding the Third Proportional to 443,500 and 682,746

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Solution

The third proportional to 443,500 and 682,746 is: 1,051,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,500 : 682,746 = 682,746 : x
  2. Step 2: Convert to fraction form
    443,500/682,746 = 682,746/x
  3. Step 3: Cross multiply
    443,500x = 682,746 × 682,746
  4. Step 4: Simplify right side
    443,500x = 466,142,100,516
  5. Step 5: Solve for x
    x = 466,142,100,516/443,500
  6. Step 6: Final answer
    x = 1,051,053.21

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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.