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Finding the Third Proportional to 316,813 and 486,307

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Solution

The third proportional to 316,813 and 486,307 is: 746,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,813 : 486,307 = 486,307 : x
  2. Step 2: Convert to fraction form
    316,813/486,307 = 486,307/x
  3. Step 3: Cross multiply
    316,813x = 486,307 × 486,307
  4. Step 4: Simplify right side
    316,813x = 236,494,498,249
  5. Step 5: Solve for x
    x = 236,494,498,249/316,813
  6. Step 6: Final answer
    x = 746,479.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.