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Finding the Third Proportional to 336,852 and 737,004

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Solution

The third proportional to 336,852 and 737,004 is: 1,612,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,852 : 737,004 = 737,004 : x
  2. Step 2: Convert to fraction form
    336,852/737,004 = 737,004/x
  3. Step 3: Cross multiply
    336,852x = 737,004 × 737,004
  4. Step 4: Simplify right side
    336,852x = 543,174,896,016
  5. Step 5: Solve for x
    x = 543,174,896,016/336,852
  6. Step 6: Final answer
    x = 1,612,503.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.