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Finding the Third Proportional to 453,913 and 682,829

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Solution

The third proportional to 453,913 and 682,829 is: 1,027,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,913 : 682,829 = 682,829 : x
  2. Step 2: Convert to fraction form
    453,913/682,829 = 682,829/x
  3. Step 3: Cross multiply
    453,913x = 682,829 × 682,829
  4. Step 4: Simplify right side
    453,913x = 466,255,443,241
  5. Step 5: Solve for x
    x = 466,255,443,241/453,913
  6. Step 6: Final answer
    x = 1,027,191.21

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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.