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Finding the Third Proportional to 362,176.31 and 780,396.75

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Solution

The third proportional to 362,176.31 and 780,396.75 is: 1,681,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,176.31 : 780,396.75 = 780,396.75 : x
  2. Step 2: Convert to fraction form
    362,176.31/780,396.75 = 780,396.75/x
  3. Step 3: Cross multiply
    362,176.31x = 780,396.75 × 780,396.75
  4. Step 4: Simplify right side
    362,176.31x = 609,019,087,410.56
  5. Step 5: Solve for x
    x = 609,019,087,410.56/362,176.31
  6. Step 6: Final answer
    x = 1,681,554.17

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Why These Related Problems?

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