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Finding the Third Proportional to 434,519 and 682,506

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Solution

The third proportional to 434,519 and 682,506 is: 1,072,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,519 : 682,506 = 682,506 : x
  2. Step 2: Convert to fraction form
    434,519/682,506 = 682,506/x
  3. Step 3: Cross multiply
    434,519x = 682,506 × 682,506
  4. Step 4: Simplify right side
    434,519x = 465,814,440,036
  5. Step 5: Solve for x
    x = 465,814,440,036/434,519
  6. Step 6: Final answer
    x = 1,072,023.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.