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Finding the Third Proportional to 319,698 and 477,351

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Solution

The third proportional to 319,698 and 477,351 is: 712,747.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698 : 477,351 = 477,351 : x
  2. Step 2: Convert to fraction form
    319,698/477,351 = 477,351/x
  3. Step 3: Cross multiply
    319,698x = 477,351 × 477,351
  4. Step 4: Simplify right side
    319,698x = 227,863,977,201
  5. Step 5: Solve for x
    x = 227,863,977,201/319,698
  6. Step 6: Final answer
    x = 712,747.58

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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.