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Finding the Third Proportional to 336,790 and 737,000

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Solution

The third proportional to 336,790 and 737,000 is: 1,612,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,790 : 737,000 = 737,000 : x
  2. Step 2: Convert to fraction form
    336,790/737,000 = 737,000/x
  3. Step 3: Cross multiply
    336,790x = 737,000 × 737,000
  4. Step 4: Simplify right side
    336,790x = 543,169,000,000
  5. Step 5: Solve for x
    x = 543,169,000,000/336,790
  6. Step 6: Final answer
    x = 1,612,782.45

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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.