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Finding the Third Proportional to 347,026.50 and 524,916

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Solution

The third proportional to 347,026.50 and 524,916 is: 793,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,026.50 : 524,916 = 524,916 : x
  2. Step 2: Convert to fraction form
    347,026.50/524,916 = 524,916/x
  3. Step 3: Cross multiply
    347,026.50x = 524,916 × 524,916
  4. Step 4: Simplify right side
    347,026.50x = 275,536,807,056
  5. Step 5: Solve for x
    x = 275,536,807,056/347,026.50
  6. Step 6: Final answer
    x = 793,993.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.