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Finding the Third Proportional to 297,461 and 453,162

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Solution

The third proportional to 297,461 and 453,162 is: 690,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,461 : 453,162 = 453,162 : x
  2. Step 2: Convert to fraction form
    297,461/453,162 = 453,162/x
  3. Step 3: Cross multiply
    297,461x = 453,162 × 453,162
  4. Step 4: Simplify right side
    297,461x = 205,355,798,244
  5. Step 5: Solve for x
    x = 205,355,798,244/297,461
  6. Step 6: Final answer
    x = 690,362.09

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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.