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Finding the Third Proportional to 430,829.25 and 603,729.75

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Solution

The third proportional to 430,829.25 and 603,729.75 is: 846,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,829.25 : 603,729.75 = 603,729.75 : x
  2. Step 2: Convert to fraction form
    430,829.25/603,729.75 = 603,729.75/x
  3. Step 3: Cross multiply
    430,829.25x = 603,729.75 × 603,729.75
  4. Step 4: Simplify right side
    430,829.25x = 364,489,611,035.06
  5. Step 5: Solve for x
    x = 364,489,611,035.06/430,829.25
  6. Step 6: Final answer
    x = 846,018.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.