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Finding the Third Proportional to 682,825.50 and 983,637

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Solution

The third proportional to 682,825.50 and 983,637 is: 1,416,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,825.50 : 983,637 = 983,637 : x
  2. Step 2: Convert to fraction form
    682,825.50/983,637 = 983,637/x
  3. Step 3: Cross multiply
    682,825.50x = 983,637 × 983,637
  4. Step 4: Simplify right side
    682,825.50x = 967,541,747,769
  5. Step 5: Solve for x
    x = 967,541,747,769/682,825.50
  6. Step 6: Final answer
    x = 1,416,967.80

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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.