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Finding the Third Proportional to 347,206.50 and 737,073

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Solution

The third proportional to 347,206.50 and 737,073 is: 1,564,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,206.50 : 737,073 = 737,073 : x
  2. Step 2: Convert to fraction form
    347,206.50/737,073 = 737,073/x
  3. Step 3: Cross multiply
    347,206.50x = 737,073 × 737,073
  4. Step 4: Simplify right side
    347,206.50x = 543,276,607,329
  5. Step 5: Solve for x
    x = 543,276,607,329/347,206.50
  6. Step 6: Final answer
    x = 1,564,707.48

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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.