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Finding the Third Proportional to 349,245 and 748,309.50

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Solution

The third proportional to 349,245 and 748,309.50 is: 1,603,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,245 : 748,309.50 = 748,309.50 : x
  2. Step 2: Convert to fraction form
    349,245/748,309.50 = 748,309.50/x
  3. Step 3: Cross multiply
    349,245x = 748,309.50 × 748,309.50
  4. Step 4: Simplify right side
    349,245x = 559,967,107,790.25
  5. Step 5: Solve for x
    x = 559,967,107,790.25/349,245
  6. Step 6: Final answer
    x = 1,603,364.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.