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Finding the Third Proportional to 349,326 and 752,170.50

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Solution

The third proportional to 349,326 and 752,170.50 is: 1,619,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,326 : 752,170.50 = 752,170.50 : x
  2. Step 2: Convert to fraction form
    349,326/752,170.50 = 752,170.50/x
  3. Step 3: Cross multiply
    349,326x = 752,170.50 × 752,170.50
  4. Step 4: Simplify right side
    349,326x = 565,760,461,070.25
  5. Step 5: Solve for x
    x = 565,760,461,070.25/349,326
  6. Step 6: Final answer
    x = 1,619,577.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.