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Finding the Third Proportional to 297,323 and 452,956

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Solution

The third proportional to 297,323 and 452,956 is: 690,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,323 : 452,956 = 452,956 : x
  2. Step 2: Convert to fraction form
    297,323/452,956 = 452,956/x
  3. Step 3: Cross multiply
    297,323x = 452,956 × 452,956
  4. Step 4: Simplify right side
    297,323x = 205,169,137,936
  5. Step 5: Solve for x
    x = 205,169,137,936/297,323
  6. Step 6: Final answer
    x = 690,054.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.