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Finding the Third Proportional to 297,836 and 453,774

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Solution

The third proportional to 297,836 and 453,774 is: 691,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,836 : 453,774 = 453,774 : x
  2. Step 2: Convert to fraction form
    297,836/453,774 = 453,774/x
  3. Step 3: Cross multiply
    297,836x = 453,774 × 453,774
  4. Step 4: Simplify right side
    297,836x = 205,910,843,076
  5. Step 5: Solve for x
    x = 205,910,843,076/297,836
  6. Step 6: Final answer
    x = 691,356.46

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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.