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Finding the Third Proportional to 350,358.75 and 766,148.63

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Solution

The third proportional to 350,358.75 and 766,148.63 is: 1,675,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,358.75 : 766,148.63 = 766,148.63 : x
  2. Step 2: Convert to fraction form
    350,358.75/766,148.63 = 766,148.63/x
  3. Step 3: Cross multiply
    350,358.75x = 766,148.63 × 766,148.63
  4. Step 4: Simplify right side
    350,358.75x = 586,983,715,589.39
  5. Step 5: Solve for x
    x = 586,983,715,589.39/350,358.75
  6. Step 6: Final answer
    x = 1,675,379.07

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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.