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Finding the Third Proportional to 349,212 and 762,394.50

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Solution

The third proportional to 349,212 and 762,394.50 is: 1,664,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,212 : 762,394.50 = 762,394.50 : x
  2. Step 2: Convert to fraction form
    349,212/762,394.50 = 762,394.50/x
  3. Step 3: Cross multiply
    349,212x = 762,394.50 × 762,394.50
  4. Step 4: Simplify right side
    349,212x = 581,245,373,630.25
  5. Step 5: Solve for x
    x = 581,245,373,630.25/349,212
  6. Step 6: Final answer
    x = 1,664,448.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.