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Finding the Third Proportional to 301,234 and 466,435

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Solution

The third proportional to 301,234 and 466,435 is: 722,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,234 : 466,435 = 466,435 : x
  2. Step 2: Convert to fraction form
    301,234/466,435 = 466,435/x
  3. Step 3: Cross multiply
    301,234x = 466,435 × 466,435
  4. Step 4: Simplify right side
    301,234x = 217,561,609,225
  5. Step 5: Solve for x
    x = 217,561,609,225/301,234
  6. Step 6: Final answer
    x = 722,234.57

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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.