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Finding the Third Proportional to 433,107 and 629,977.50

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Solution

The third proportional to 433,107 and 629,977.50 is: 916,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,107 : 629,977.50 = 629,977.50 : x
  2. Step 2: Convert to fraction form
    433,107/629,977.50 = 629,977.50/x
  3. Step 3: Cross multiply
    433,107x = 629,977.50 × 629,977.50
  4. Step 4: Simplify right side
    433,107x = 396,871,650,506.25
  5. Step 5: Solve for x
    x = 396,871,650,506.25/433,107
  6. Step 6: Final answer
    x = 916,336.26

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.