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Finding the Third Proportional to 197,826 and 435,988.50

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Solution

The third proportional to 197,826 and 435,988.50 is: 960,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,826 : 435,988.50 = 435,988.50 : x
  2. Step 2: Convert to fraction form
    197,826/435,988.50 = 435,988.50/x
  3. Step 3: Cross multiply
    197,826x = 435,988.50 × 435,988.50
  4. Step 4: Simplify right side
    197,826x = 190,085,972,132.25
  5. Step 5: Solve for x
    x = 190,085,972,132.25/197,826
  6. Step 6: Final answer
    x = 960,874.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.