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Finding the Third Proportional to 347,247 and 737,127

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Solution

The third proportional to 347,247 and 737,127 is: 1,564,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,247 : 737,127 = 737,127 : x
  2. Step 2: Convert to fraction form
    347,247/737,127 = 737,127/x
  3. Step 3: Cross multiply
    347,247x = 737,127 × 737,127
  4. Step 4: Simplify right side
    347,247x = 543,356,214,129
  5. Step 5: Solve for x
    x = 543,356,214,129/347,247
  6. Step 6: Final answer
    x = 1,564,754.24

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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.