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Finding the Third Proportional to 319,682 and 477,334

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Solution

The third proportional to 319,682 and 477,334 is: 712,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,682 : 477,334 = 477,334 : x
  2. Step 2: Convert to fraction form
    319,682/477,334 = 477,334/x
  3. Step 3: Cross multiply
    319,682x = 477,334 × 477,334
  4. Step 4: Simplify right side
    319,682x = 227,847,747,556
  5. Step 5: Solve for x
    x = 227,847,747,556/319,682
  6. Step 6: Final answer
    x = 712,732.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.