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Finding the Third Proportional to 297,227 and 460,421

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Solution

The third proportional to 297,227 and 460,421 is: 713,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,227 : 460,421 = 460,421 : x
  2. Step 2: Convert to fraction form
    297,227/460,421 = 460,421/x
  3. Step 3: Cross multiply
    297,227x = 460,421 × 460,421
  4. Step 4: Simplify right side
    297,227x = 211,987,497,241
  5. Step 5: Solve for x
    x = 211,987,497,241/297,227
  6. Step 6: Final answer
    x = 713,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.