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Finding the Third Proportional to 316,874 and 461,043

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Solution

The third proportional to 316,874 and 461,043 is: 670,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,874 : 461,043 = 461,043 : x
  2. Step 2: Convert to fraction form
    316,874/461,043 = 461,043/x
  3. Step 3: Cross multiply
    316,874x = 461,043 × 461,043
  4. Step 4: Simplify right side
    316,874x = 212,560,647,849
  5. Step 5: Solve for x
    x = 212,560,647,849/316,874
  6. Step 6: Final answer
    x = 670,804.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.