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Finding the Third Proportional to 297,502 and 453,232

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Solution

The third proportional to 297,502 and 453,232 is: 690,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,502 : 453,232 = 453,232 : x
  2. Step 2: Convert to fraction form
    297,502/453,232 = 453,232/x
  3. Step 3: Cross multiply
    297,502x = 453,232 × 453,232
  4. Step 4: Simplify right side
    297,502x = 205,419,245,824
  5. Step 5: Solve for x
    x = 205,419,245,824/297,502
  6. Step 6: Final answer
    x = 690,480.22

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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.