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Finding the Third Proportional to 682,708.50 and 983,417.63

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Solution

The third proportional to 682,708.50 and 983,417.63 is: 1,416,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,708.50 : 983,417.63 = 983,417.63 : x
  2. Step 2: Convert to fraction form
    682,708.50/983,417.63 = 983,417.63/x
  3. Step 3: Cross multiply
    682,708.50x = 983,417.63 × 983,417.63
  4. Step 4: Simplify right side
    682,708.50x = 967,110,225,160.64
  5. Step 5: Solve for x
    x = 967,110,225,160.64/682,708.50
  6. Step 6: Final answer
    x = 1,416,578.56

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