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Finding the Third Proportional to 348,385.88 and 516,102.75

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Solution

The third proportional to 348,385.88 and 516,102.75 is: 764,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,385.88 : 516,102.75 = 516,102.75 : x
  2. Step 2: Convert to fraction form
    348,385.88/516,102.75 = 516,102.75/x
  3. Step 3: Cross multiply
    348,385.88x = 516,102.75 × 516,102.75
  4. Step 4: Simplify right side
    348,385.88x = 266,362,048,557.56
  5. Step 5: Solve for x
    x = 266,362,048,557.56/348,385.88
  6. Step 6: Final answer
    x = 764,560.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.