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Finding the Third Proportional to 316,836 and 659,891.25

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Solution

The third proportional to 316,836 and 659,891.25 is: 1,374,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,836 : 659,891.25 = 659,891.25 : x
  2. Step 2: Convert to fraction form
    316,836/659,891.25 = 659,891.25/x
  3. Step 3: Cross multiply
    316,836x = 659,891.25 × 659,891.25
  4. Step 4: Simplify right side
    316,836x = 435,456,461,826.56
  5. Step 5: Solve for x
    x = 435,456,461,826.56/316,836
  6. Step 6: Final answer
    x = 1,374,390.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.