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Finding the Third Proportional to 297,546 and 453,285

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Solution

The third proportional to 297,546 and 453,285 is: 690,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,546 : 453,285 = 453,285 : x
  2. Step 2: Convert to fraction form
    297,546/453,285 = 453,285/x
  3. Step 3: Cross multiply
    297,546x = 453,285 × 453,285
  4. Step 4: Simplify right side
    297,546x = 205,467,291,225
  5. Step 5: Solve for x
    x = 205,467,291,225/297,546
  6. Step 6: Final answer
    x = 690,539.58

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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.