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Finding the Third Proportional to 434,443.50 and 957,231

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Solution

The third proportional to 434,443.50 and 957,231 is: 2,109,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,443.50 : 957,231 = 957,231 : x
  2. Step 2: Convert to fraction form
    434,443.50/957,231 = 957,231/x
  3. Step 3: Cross multiply
    434,443.50x = 957,231 × 957,231
  4. Step 4: Simplify right side
    434,443.50x = 916,291,187,361
  5. Step 5: Solve for x
    x = 916,291,187,361/434,443.50
  6. Step 6: Final answer
    x = 2,109,114.73

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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.