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Finding the Third Proportional to 430,983 and 682,105.50

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Solution

The third proportional to 430,983 and 682,105.50 is: 1,079,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,983 : 682,105.50 = 682,105.50 : x
  2. Step 2: Convert to fraction form
    430,983/682,105.50 = 682,105.50/x
  3. Step 3: Cross multiply
    430,983x = 682,105.50 × 682,105.50
  4. Step 4: Simplify right side
    430,983x = 465,267,913,130.25
  5. Step 5: Solve for x
    x = 465,267,913,130.25/430,983
  6. Step 6: Final answer
    x = 1,079,550.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.