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Finding the Third Proportional to 297,548 and 416,178

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Solution

The third proportional to 297,548 and 416,178 is: 582,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,548 : 416,178 = 416,178 : x
  2. Step 2: Convert to fraction form
    297,548/416,178 = 416,178/x
  3. Step 3: Cross multiply
    297,548x = 416,178 × 416,178
  4. Step 4: Simplify right side
    297,548x = 173,204,127,684
  5. Step 5: Solve for x
    x = 173,204,127,684/297,548
  6. Step 6: Final answer
    x = 582,104.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.