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Finding the Third Proportional to 347,751 and 741,433.50

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Solution

The third proportional to 347,751 and 741,433.50 is: 1,580,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,751 : 741,433.50 = 741,433.50 : x
  2. Step 2: Convert to fraction form
    347,751/741,433.50 = 741,433.50/x
  3. Step 3: Cross multiply
    347,751x = 741,433.50 × 741,433.50
  4. Step 4: Simplify right side
    347,751x = 549,723,634,922.25
  5. Step 5: Solve for x
    x = 549,723,634,922.25/347,751
  6. Step 6: Final answer
    x = 1,580,796.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.