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Finding the Third Proportional to 682,975.13 and 986,701.50

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Solution

The third proportional to 682,975.13 and 986,701.50 is: 1,425,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,975.13 : 986,701.50 = 986,701.50 : x
  2. Step 2: Convert to fraction form
    682,975.13/986,701.50 = 986,701.50/x
  3. Step 3: Cross multiply
    682,975.13x = 986,701.50 × 986,701.50
  4. Step 4: Simplify right side
    682,975.13x = 973,579,850,102.25
  5. Step 5: Solve for x
    x = 973,579,850,102.25/682,975.13
  6. Step 6: Final answer
    x = 1,425,498.26

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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.