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Finding the Third Proportional to 347,046.75 and 517,704.75

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Solution

The third proportional to 347,046.75 and 517,704.75 is: 772,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,046.75 : 517,704.75 = 517,704.75 : x
  2. Step 2: Convert to fraction form
    347,046.75/517,704.75 = 517,704.75/x
  3. Step 3: Cross multiply
    347,046.75x = 517,704.75 × 517,704.75
  4. Step 4: Simplify right side
    347,046.75x = 268,018,208,172.56
  5. Step 5: Solve for x
    x = 268,018,208,172.56/347,046.75
  6. Step 6: Final answer
    x = 772,282.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.