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Finding the Third Proportional to 336,896 and 737,094

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Solution

The third proportional to 336,896 and 737,094 is: 1,612,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,896 : 737,094 = 737,094 : x
  2. Step 2: Convert to fraction form
    336,896/737,094 = 737,094/x
  3. Step 3: Cross multiply
    336,896x = 737,094 × 737,094
  4. Step 4: Simplify right side
    336,896x = 543,307,564,836
  5. Step 5: Solve for x
    x = 543,307,564,836/336,896
  6. Step 6: Final answer
    x = 1,612,686.30

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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.