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Finding the Third Proportional to 336,122 and 735,178

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Solution

The third proportional to 336,122 and 735,178 is: 1,608,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,122 : 735,178 = 735,178 : x
  2. Step 2: Convert to fraction form
    336,122/735,178 = 735,178/x
  3. Step 3: Cross multiply
    336,122x = 735,178 × 735,178
  4. Step 4: Simplify right side
    336,122x = 540,486,691,684
  5. Step 5: Solve for x
    x = 540,486,691,684/336,122
  6. Step 6: Final answer
    x = 1,608,007.48

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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.