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Finding the Third Proportional to 410,614 and 877,974.50

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Solution

The third proportional to 410,614 and 877,974.50 is: 1,877,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,614 : 877,974.50 = 877,974.50 : x
  2. Step 2: Convert to fraction form
    410,614/877,974.50 = 877,974.50/x
  3. Step 3: Cross multiply
    410,614x = 877,974.50 × 877,974.50
  4. Step 4: Simplify right side
    410,614x = 770,839,222,650.25
  5. Step 5: Solve for x
    x = 770,839,222,650.25/410,614
  6. Step 6: Final answer
    x = 1,877,284.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.