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Finding the Third Proportional to 451,572 and 699,589.50

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Solution

The third proportional to 451,572 and 699,589.50 is: 1,083,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,572 : 699,589.50 = 699,589.50 : x
  2. Step 2: Convert to fraction form
    451,572/699,589.50 = 699,589.50/x
  3. Step 3: Cross multiply
    451,572x = 699,589.50 × 699,589.50
  4. Step 4: Simplify right side
    451,572x = 489,425,468,510.25
  5. Step 5: Solve for x
    x = 489,425,468,510.25/451,572
  6. Step 6: Final answer
    x = 1,083,825.99

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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.