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Finding the Third Proportional to 434,465.50 and 946,164.50

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Solution

The third proportional to 434,465.50 and 946,164.50 is: 2,060,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,465.50 : 946,164.50 = 946,164.50 : x
  2. Step 2: Convert to fraction form
    434,465.50/946,164.50 = 946,164.50/x
  3. Step 3: Cross multiply
    434,465.50x = 946,164.50 × 946,164.50
  4. Step 4: Simplify right side
    434,465.50x = 895,227,261,060.25
  5. Step 5: Solve for x
    x = 895,227,261,060.25/434,465.50
  6. Step 6: Final answer
    x = 2,060,525.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.