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Finding the Third Proportional to 297,164 and 434,366

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Solution

The third proportional to 297,164 and 434,366 is: 634,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,164 : 434,366 = 434,366 : x
  2. Step 2: Convert to fraction form
    297,164/434,366 = 434,366/x
  3. Step 3: Cross multiply
    297,164x = 434,366 × 434,366
  4. Step 4: Simplify right side
    297,164x = 188,673,821,956
  5. Step 5: Solve for x
    x = 188,673,821,956/297,164
  6. Step 6: Final answer
    x = 634,914.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.