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Finding the Third Proportional to 517,817.50 and 699,605

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Solution

The third proportional to 517,817.50 and 699,605 is: 945,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,817.50 : 699,605 = 699,605 : x
  2. Step 2: Convert to fraction form
    517,817.50/699,605 = 699,605/x
  3. Step 3: Cross multiply
    517,817.50x = 699,605 × 699,605
  4. Step 4: Simplify right side
    517,817.50x = 489,447,156,025
  5. Step 5: Solve for x
    x = 489,447,156,025/517,817.50
  6. Step 6: Final answer
    x = 945,211.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.