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Finding the Third Proportional to 262,255.50 and 391,765.50

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Solution

The third proportional to 262,255.50 and 391,765.50 is: 585,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,255.50 : 391,765.50 = 391,765.50 : x
  2. Step 2: Convert to fraction form
    262,255.50/391,765.50 = 391,765.50/x
  3. Step 3: Cross multiply
    262,255.50x = 391,765.50 × 391,765.50
  4. Step 4: Simplify right side
    262,255.50x = 153,480,206,990.25
  5. Step 5: Solve for x
    x = 153,480,206,990.25/262,255.50
  6. Step 6: Final answer
    x = 585,231.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.