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Finding the Third Proportional to 341,784 and 736,158.75

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Solution

The third proportional to 341,784 and 736,158.75 is: 1,585,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,784 : 736,158.75 = 736,158.75 : x
  2. Step 2: Convert to fraction form
    341,784/736,158.75 = 736,158.75/x
  3. Step 3: Cross multiply
    341,784x = 736,158.75 × 736,158.75
  4. Step 4: Simplify right side
    341,784x = 541,929,705,201.56
  5. Step 5: Solve for x
    x = 541,929,705,201.56/341,784
  6. Step 6: Final answer
    x = 1,585,591.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.