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Finding the Third Proportional to 350,352.84 and 766,133.44

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Solution

The third proportional to 350,352.84 and 766,133.44 is: 1,675,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,352.84 : 766,133.44 = 766,133.44 : x
  2. Step 2: Convert to fraction form
    350,352.84/766,133.44 = 766,133.44/x
  3. Step 3: Cross multiply
    350,352.84x = 766,133.44 × 766,133.44
  4. Step 4: Simplify right side
    350,352.84x = 586,960,444,055.57
  5. Step 5: Solve for x
    x = 586,960,444,055.57/350,352.84
  6. Step 6: Final answer
    x = 1,675,340.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.