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Finding the Third Proportional to 347,290.50 and 534,774.75

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Solution

The third proportional to 347,290.50 and 534,774.75 is: 823,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,290.50 : 534,774.75 = 534,774.75 : x
  2. Step 2: Convert to fraction form
    347,290.50/534,774.75 = 534,774.75/x
  3. Step 3: Cross multiply
    347,290.50x = 534,774.75 × 534,774.75
  4. Step 4: Simplify right side
    347,290.50x = 285,984,033,237.56
  5. Step 5: Solve for x
    x = 285,984,033,237.56/347,290.50
  6. Step 6: Final answer
    x = 823,472.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.