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Finding the Third Proportional to 336,980 and 735,708

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Solution

The third proportional to 336,980 and 735,708 is: 1,606,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,980 : 735,708 = 735,708 : x
  2. Step 2: Convert to fraction form
    336,980/735,708 = 735,708/x
  3. Step 3: Cross multiply
    336,980x = 735,708 × 735,708
  4. Step 4: Simplify right side
    336,980x = 541,266,261,264
  5. Step 5: Solve for x
    x = 541,266,261,264/336,980
  6. Step 6: Final answer
    x = 1,606,226.66

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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.