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Finding the Third Proportional to 333,107 and 732,644

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Solution

The third proportional to 333,107 and 732,644 is: 1,611,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,107 : 732,644 = 732,644 : x
  2. Step 2: Convert to fraction form
    333,107/732,644 = 732,644/x
  3. Step 3: Cross multiply
    333,107x = 732,644 × 732,644
  4. Step 4: Simplify right side
    333,107x = 536,767,230,736
  5. Step 5: Solve for x
    x = 536,767,230,736/333,107
  6. Step 6: Final answer
    x = 1,611,395.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.