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Finding the Third Proportional to 451,573.50 and 699,597

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Solution

The third proportional to 451,573.50 and 699,597 is: 1,083,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,573.50 : 699,597 = 699,597 : x
  2. Step 2: Convert to fraction form
    451,573.50/699,597 = 699,597/x
  3. Step 3: Cross multiply
    451,573.50x = 699,597 × 699,597
  4. Step 4: Simplify right side
    451,573.50x = 489,435,962,409
  5. Step 5: Solve for x
    x = 489,435,962,409/451,573.50
  6. Step 6: Final answer
    x = 1,083,845.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.