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Finding the Third Proportional to 347,604.75 and 465,571.13

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Solution

The third proportional to 347,604.75 and 465,571.13 is: 623,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,604.75 : 465,571.13 = 465,571.13 : x
  2. Step 2: Convert to fraction form
    347,604.75/465,571.13 = 465,571.13/x
  3. Step 3: Cross multiply
    347,604.75x = 465,571.13 × 465,571.13
  4. Step 4: Simplify right side
    347,604.75x = 216,756,472,433.77
  5. Step 5: Solve for x
    x = 216,756,472,433.77/347,604.75
  6. Step 6: Final answer
    x = 623,571.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.