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Finding the Third Proportional to 199,491.25 and 426,630.50

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Solution

The third proportional to 199,491.25 and 426,630.50 is: 912,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,491.25 : 426,630.50 = 426,630.50 : x
  2. Step 2: Convert to fraction form
    199,491.25/426,630.50 = 426,630.50/x
  3. Step 3: Cross multiply
    199,491.25x = 426,630.50 × 426,630.50
  4. Step 4: Simplify right side
    199,491.25x = 182,013,583,530.25
  5. Step 5: Solve for x
    x = 182,013,583,530.25/199,491.25
  6. Step 6: Final answer
    x = 912,388.81

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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.