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Finding the Third Proportional to 315,975.94 and 691,066.69

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Solution

The third proportional to 315,975.94 and 691,066.69 is: 1,511,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,975.94 : 691,066.69 = 691,066.69 : x
  2. Step 2: Convert to fraction form
    315,975.94/691,066.69 = 691,066.69/x
  3. Step 3: Cross multiply
    315,975.94x = 691,066.69 × 691,066.69
  4. Step 4: Simplify right side
    315,975.94x = 477,573,166,572.22
  5. Step 5: Solve for x
    x = 477,573,166,572.22/315,975.94
  6. Step 6: Final answer
    x = 1,511,422.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.