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Finding the Third Proportional to 451,770.75 and 699,526.13

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Solution

The third proportional to 451,770.75 and 699,526.13 is: 1,083,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,770.75 : 699,526.13 = 699,526.13 : x
  2. Step 2: Convert to fraction form
    451,770.75/699,526.13 = 699,526.13/x
  3. Step 3: Cross multiply
    451,770.75x = 699,526.13 × 699,526.13
  4. Step 4: Simplify right side
    451,770.75x = 489,336,799,557.52
  5. Step 5: Solve for x
    x = 489,336,799,557.52/451,770.75
  6. Step 6: Final answer
    x = 1,083,152.90

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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.