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Finding the Third Proportional to 349,752.75 and 534,774.75

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Solution

The third proportional to 349,752.75 and 534,774.75 is: 817,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,752.75 : 534,774.75 = 534,774.75 : x
  2. Step 2: Convert to fraction form
    349,752.75/534,774.75 = 534,774.75/x
  3. Step 3: Cross multiply
    349,752.75x = 534,774.75 × 534,774.75
  4. Step 4: Simplify right side
    349,752.75x = 285,984,033,237.56
  5. Step 5: Solve for x
    x = 285,984,033,237.56/349,752.75
  6. Step 6: Final answer
    x = 817,674.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.