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Finding the Third Proportional to 314,394.75 and 681,957.14

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Solution

The third proportional to 314,394.75 and 681,957.14 is: 1,479,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,394.75 : 681,957.14 = 681,957.14 : x
  2. Step 2: Convert to fraction form
    314,394.75/681,957.14 = 681,957.14/x
  3. Step 3: Cross multiply
    314,394.75x = 681,957.14 × 681,957.14
  4. Step 4: Simplify right side
    314,394.75x = 465,065,541,649.43
  5. Step 5: Solve for x
    x = 465,065,541,649.43/314,394.75
  6. Step 6: Final answer
    x = 1,479,240.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.