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Finding the Third Proportional to 336,979 and 735,706

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Solution

The third proportional to 336,979 and 735,706 is: 1,606,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,979 : 735,706 = 735,706 : x
  2. Step 2: Convert to fraction form
    336,979/735,706 = 735,706/x
  3. Step 3: Cross multiply
    336,979x = 735,706 × 735,706
  4. Step 4: Simplify right side
    336,979x = 541,263,318,436
  5. Step 5: Solve for x
    x = 541,263,318,436/336,979
  6. Step 6: Final answer
    x = 1,606,222.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.