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Finding the Third Proportional to 347,137.31 and 460,611.56

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Solution

The third proportional to 347,137.31 and 460,611.56 is: 611,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,137.31 : 460,611.56 = 460,611.56 : x
  2. Step 2: Convert to fraction form
    347,137.31/460,611.56 = 460,611.56/x
  3. Step 3: Cross multiply
    347,137.31x = 460,611.56 × 460,611.56
  4. Step 4: Simplify right side
    347,137.31x = 212,163,011,508.69
  5. Step 5: Solve for x
    x = 212,163,011,508.69/347,137.31
  6. Step 6: Final answer
    x = 611,178.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.