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Finding the Third Proportional to 321,476.63 and 691,341.75

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Solution

The third proportional to 321,476.63 and 691,341.75 is: 1,486,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,476.63 : 691,341.75 = 691,341.75 : x
  2. Step 2: Convert to fraction form
    321,476.63/691,341.75 = 691,341.75/x
  3. Step 3: Cross multiply
    321,476.63x = 691,341.75 × 691,341.75
  4. Step 4: Simplify right side
    321,476.63x = 477,953,415,293.06
  5. Step 5: Solve for x
    x = 477,953,415,293.06/321,476.63
  6. Step 6: Final answer
    x = 1,486,743.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.