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Finding the Third Proportional to 333,035.30 and 688,920.19

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Solution

The third proportional to 333,035.30 and 688,920.19 is: 1,425,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,035.30 : 688,920.19 = 688,920.19 : x
  2. Step 2: Convert to fraction form
    333,035.30/688,920.19 = 688,920.19/x
  3. Step 3: Cross multiply
    333,035.30x = 688,920.19 × 688,920.19
  4. Step 4: Simplify right side
    333,035.30x = 474,611,024,745.04
  5. Step 5: Solve for x
    x = 474,611,024,745.04/333,035.30
  6. Step 6: Final answer
    x = 1,425,107.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.