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Finding the Third Proportional to 347,209.50 and 737,079

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Solution

The third proportional to 347,209.50 and 737,079 is: 1,564,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,209.50 : 737,079 = 737,079 : x
  2. Step 2: Convert to fraction form
    347,209.50/737,079 = 737,079/x
  3. Step 3: Cross multiply
    347,209.50x = 737,079 × 737,079
  4. Step 4: Simplify right side
    347,209.50x = 543,285,452,241
  5. Step 5: Solve for x
    x = 543,285,452,241/347,209.50
  6. Step 6: Final answer
    x = 1,564,719.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.