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Finding the Third Proportional to 682,717 and 983,430

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Solution

The third proportional to 682,717 and 983,430 is: 1,416,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,717 : 983,430 = 983,430 : x
  2. Step 2: Convert to fraction form
    682,717/983,430 = 983,430/x
  3. Step 3: Cross multiply
    682,717x = 983,430 × 983,430
  4. Step 4: Simplify right side
    682,717x = 967,134,564,900
  5. Step 5: Solve for x
    x = 967,134,564,900/682,717
  6. Step 6: Final answer
    x = 1,416,596.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.