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Finding the Third Proportional to 347,236.50 and 521,776.50

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Solution

The third proportional to 347,236.50 and 521,776.50 is: 784,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,236.50 : 521,776.50 = 521,776.50 : x
  2. Step 2: Convert to fraction form
    347,236.50/521,776.50 = 521,776.50/x
  3. Step 3: Cross multiply
    347,236.50x = 521,776.50 × 521,776.50
  4. Step 4: Simplify right side
    347,236.50x = 272,250,715,952.25
  5. Step 5: Solve for x
    x = 272,250,715,952.25/347,236.50
  6. Step 6: Final answer
    x = 784,049.82

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