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Finding the Third Proportional to 347,248.50 and 521,796.75

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Solution

The third proportional to 347,248.50 and 521,796.75 is: 784,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,248.50 : 521,796.75 = 521,796.75 : x
  2. Step 2: Convert to fraction form
    347,248.50/521,796.75 = 521,796.75/x
  3. Step 3: Cross multiply
    347,248.50x = 521,796.75 × 521,796.75
  4. Step 4: Simplify right side
    347,248.50x = 272,271,848,310.56
  5. Step 5: Solve for x
    x = 272,271,848,310.56/347,248.50
  6. Step 6: Final answer
    x = 784,083.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.