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Finding the Third Proportional to 349,327.13 and 711,499.50

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Solution

The third proportional to 349,327.13 and 711,499.50 is: 1,449,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,327.13 : 711,499.50 = 711,499.50 : x
  2. Step 2: Convert to fraction form
    349,327.13/711,499.50 = 711,499.50/x
  3. Step 3: Cross multiply
    349,327.13x = 711,499.50 × 711,499.50
  4. Step 4: Simplify right side
    349,327.13x = 506,231,538,500.25
  5. Step 5: Solve for x
    x = 506,231,538,500.25/349,327.13
  6. Step 6: Final answer
    x = 1,449,161.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.