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Finding the Third Proportional to 297,856 and 466,240

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Solution

The third proportional to 297,856 and 466,240 is: 729,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,856 : 466,240 = 466,240 : x
  2. Step 2: Convert to fraction form
    297,856/466,240 = 466,240/x
  3. Step 3: Cross multiply
    297,856x = 466,240 × 466,240
  4. Step 4: Simplify right side
    297,856x = 217,379,737,600
  5. Step 5: Solve for x
    x = 217,379,737,600/297,856
  6. Step 6: Final answer
    x = 729,814.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.