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Finding the Third Proportional to 349,209 and 762,387.75

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Solution

The third proportional to 349,209 and 762,387.75 is: 1,664,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,209 : 762,387.75 = 762,387.75 : x
  2. Step 2: Convert to fraction form
    349,209/762,387.75 = 762,387.75/x
  3. Step 3: Cross multiply
    349,209x = 762,387.75 × 762,387.75
  4. Step 4: Simplify right side
    349,209x = 581,235,081,350.06
  5. Step 5: Solve for x
    x = 581,235,081,350.06/349,209
  6. Step 6: Final answer
    x = 1,664,433.28

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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.