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Finding the Third Proportional to 265,024.50 and 422,121.75

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Solution

The third proportional to 265,024.50 and 422,121.75 is: 672,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,024.50 : 422,121.75 = 422,121.75 : x
  2. Step 2: Convert to fraction form
    265,024.50/422,121.75 = 422,121.75/x
  3. Step 3: Cross multiply
    265,024.50x = 422,121.75 × 422,121.75
  4. Step 4: Simplify right side
    265,024.50x = 178,186,771,823.06
  5. Step 5: Solve for x
    x = 178,186,771,823.06/265,024.50
  6. Step 6: Final answer
    x = 672,340.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.