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Finding the Third Proportional to 350,474.34 and 765,816.40

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Solution

The third proportional to 350,474.34 and 765,816.40 is: 1,673,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,474.34 : 765,816.40 = 765,816.40 : x
  2. Step 2: Convert to fraction form
    350,474.34/765,816.40 = 765,816.40/x
  3. Step 3: Cross multiply
    350,474.34x = 765,816.40 × 765,816.40
  4. Step 4: Simplify right side
    350,474.34x = 586,474,756,115.78
  5. Step 5: Solve for x
    x = 586,474,756,115.78/350,474.34
  6. Step 6: Final answer
    x = 1,673,374.29

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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.